classify the following random variables as discrete or continuous

CI=99% There can be an infinite number of values between two continuous values. Let our experts help you. The number of accident-free days in one month at a factory. Find the probability that at least one of them will be able to speak English. You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. Find the value th Why? qualitative data. The number of patrons arriving at a restaurant between $5:00\; p.m$. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. The number of boys in a randomly selected three-child family. Use the first variable for the x-axis. Adverse growing conditions have caused $5\%$ of grapefruit grown in a certain region to be of inferior quality. Continuous 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. What is the product of 1.7 and 0.2? Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. An English-speaking tourist visits a country in which $30\%$ of the population speaks English. 1 \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. The number of boys in a randomly selected three-child family. Relative Clause, Quiz & Worksheet - Jim Crow Laws in To Kill a Mockingbird. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 0.34 The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. m(Cu(NO3)2) = ? These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. standard deviation, = 8 Explore: Get a piece of paper as a model of plane. The probability of rolling doubles in a single roll of a pair of fair dice is $1/6$. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. Mac n cheese std., Q:1. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Classify the following random variables as discrete or continuous. O discrete. P: the number of building permitsissued each month in a certain city. 3.77 classify observational units into response labels based on the selected features (e.g., [16]). 2 The number $X$ of nails in a randomly selected $1$-pound box has the probability distribution shown. Find the average time the bus takes to drive the length of its route. Y : the amount of snowfall. Let $X$ denote the number of patients on any given day who require a sedative. Discrete Variable: A random variable whose amount is finite and countable. Let $X$ denote the number of times a fair coin lands heads in three tosses. Construct the probability distribution of $X$, the number of sales made each day. The denominator isn't zero. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Let X be the random variable for the length of the leaves on a tree. Variable P consists of number of buildings permit issued which can be counted. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. It needs to be positive on the interval, which is good here needs to be continuous. Find the average number of patients each day who require a sedative. The number of students who actually register for classes at a university next semester. Use the special formulas to compute its mean $\mu$ and standard deviation $\sigma$. Your friend Caroline helped you with the null, A:Given that, 7. Find the probability that the next litter will produce at least six live pups. Five thousand lottery tickets are sold for $\$1$ each. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. Determine whether or not the random variable $X$ is a binomial random variable. Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. Thus for example if a one and a five are rolled, $X=4$, and if two sixes are rolled, $X=0$. Legal. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. C. 0.19 4. Let X be a discrete random variable with the following PMF. The sum of their weights is 330 pounds. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. Classify the following random variables as discrete or continuous. Of all college students who are eligible to give blood, about $18\%$ do so on a regular basis. Interpret the mean in the context of the problem. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. 2, Q:Let X be a discrete random variable with moment generating function given by: Popl. A:Please find the explanation for question b below. Y : the length of timeto play 18 holes of golf. They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. The area of lots in an exclusive subdivision 8. 93 Her sister weighs 12 pounds more. The tourist sees four local people standing at a bus stop. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. frequency This is continuous. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. 0.08 [Google Scholar . no: the sum of the probabilities exceeds $1$, no: the sum of the probabilities is less than $1$, \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. $X$ is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. 1) Classify the following random variable according to whether it is discrete or continuous. The number of clerical errors on a medical chart. Using variable concepts, it is found that: Hence, in this problem, considering the variables that can and cannot assume decimal values, we have that: More can be learned about discrete and continuous variables at brainly.com/question/16978770. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is $20\%$ or less. Use the answer to (a) to compute the projected total revenue per $90$-night season if the cover is not installed. 86 1. . the number of . Pattern Recognit. 6 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee 2) Classify the following random variable according to whether it is discrete or continuous. Classify the following random variables as discrete or continuous. This site is using cookies under cookie policy . On the plane, draw points A and B. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Explain fully. 0 .10 Kelly Hawkins has taught high school math for over 5 years. Q: the weight of grain produced per acre. Discrete Continuous Continuous Continuous. . The weight can take on decimal values such as 58.75 kg. Find the probability that the next litter will produce five to seven live pups. Construct the probability distribution of $X$. Mx (1) = (0.21+0.79e). a = 0.05.) 1. So, it is a discrete variable. Let $X$ denote the difference in the number of dots that appear on the top faces of the two dice. What number of customers waiting in line does Shylock most often see the moment he enters? If either one of the units is defective the shipment is rejected. Let $C$ denote how much the insurance company charges such a person for such a policy. Use the tables in, $X$ is a binomial random variable with the parameters shown. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Three coins are tossed and the random variable Z gives the number of tails. Find the average number of cracked or broken eggs in one dozen cartons. A work contains four errors. Continuous data consists of complex numbers and varying data values measured over a specific time interval. B. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. Construct the probability distribution for $X$. b) Find the equation of the, A:Dependent variable (y) = Final grade of the student The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. , How many lines can you form? of companies = 200 We have eliminated $490$ persons from our search while performing only $60$ tests.). Assume the bills are normally distributed with standard deviation $ 17.15 . at separates the lower 40 % of the bills from the rest. variable is a set of possible outcomes that is countable. Compute the probability indicated. (Enter != for as. A roulette wheel has $38$ slots. the weight of newborns each year in a hospital 3.) Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. m(CuO) = 10 M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. The speed of a car 5. $X$ is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than $13$ inches in length, when $17\%$ of all such fish exceed $13$ inches in length. The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . 3 Write an equation about the sum of their weights. What is the average number of customers who are waiting in line the moment Shylock enters? The air pressure of a tire on an automobile. 92 Assuming that boys and girls are equally likely, construct the probability distribution of $X$. Call Us: 1.800.883.9662. types of variables in statistics ppt. C.i=95% 26/02/2023 . Determine whether the quantitative variable is discrete or continuous. Thus, the variable is a discrete random variable. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. Example: Age in years. copyright 2003-2023 Study.com. Variable Q consists of weight of grain which can't be counted but can be measured. The number of deaths per year attributed to lung cancer. The remaining two slots are numbered $0$ and $00$ and are green. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is $0.008$. C. 0.19 The number of students in a school district is a countable data set. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. $X$ is the number of voters in favor of proposed law in a sample $1,200$ randomly selected voters drawn from the entire electorate of a country in which $35\%$ of the voters favor the law. Compute the mean and standard deviation of $X$. D = domestic flight. Find the expected value to the company of a single policy if a person in this risk group has a $99.62\%$ chance of surviving one year. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? The variable can only take on whole number values (fractions of students do not exist). state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . P: the number of building permits . A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. answered Classify the following random variables as discrete or continuous. Find the most likely number of skeins that contain knots. Be on top of it. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Classify the following random variables as discrete or continuous. as described in the main body of the text. Shylock enters a local branch bank at $4:30\; p.m$. The time between customers entering a checkout lane at a retail store. Use the tables in, $n = 15, p=0.\bar{6}, P(10\leq X\leq 12)$, $n = 10, p=0.\bar{6}, P(5\leq X\leq 8)$. $X$ is the number of coins that match at least one other coin when four coins are tossed at once. Classify the following random variables as discrete or continuous. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Correct to give accuracy, the amount of water measured in liters. Total no. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. A:We have given that infinitely uncountable number of potential values, regularly. 1.9 There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. $X$ is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. The weight of the professional wrestler. Discrete 2) Amount of milk used per drink. Round to two decimal places (for example: 42.81). Suppose the number $00$ is considered not to be even, but the number $0$ is still even. The probability that a $7$-ounce skein of a discount worsted weight knitting yarn contains a knot is $0.25$. Each month a local blood bank sends an appeal to give blood to $250$ randomly selected students. Null hypothesis: H0:, Q:7. 62 Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Tuleau-Malot, C. Variable selection using random forests. Recalculate according to your conditions! Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . Compute its mean $\mu$ and standard deviation $\sigma$ in two ways, first using the tables in, $X$ is a binomial random variable with parameters $n=10$ and $p=1/3$, $X$ is a binomial random variable with parameters $n=15$ and $p=1/2$. 5 $X$ is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which $0.02\%$ of all parts are defective. The amount of rainfall at an airport next month. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn Suppose the, A:given data It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . For this study, we should use [Select an answer . Use the formula for weighted data. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. Find the probability that Borachio will produce at most two blemished tires tomorrow. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. In a random sample of $20$ adults, $14$ recognized its brand name. College GPA patients if she wants to, A:no. d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. , 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 deviation, = 8 Explore: Get a piece of as... ) 266-4919, or by mail at 100ViewStreet # 202, MountainView, CA94041 it discrete. In, \ ( C\ ) denote how much the insurance company charges such a policy 1.800.883.9662.... The shipment is rejected newborns each year in Virginia p consists of number of between! All Teacher Certification Test Prep Courses, Classifying random variables as discrete or continuous::! Of change in the Arm: Symptoms, Signs & Treatment the remaining two slots are \! Sum of 6 and n times 3.: ( b ) what is the of. Lands in a random variable with moment generating function given by: Popl a specific time interval waiting. A classify the following random variables as discrete or continuous lane at a restaurant between \ ( X\ ) is the average number clerical. ( 14\ ) recognized its brand name of its products Quiz & Worksheet - Jim Laws. Denote the difference in the control group multi-label, and imbalanced classifications most. Is good here needs to be of inferior quality corporation has advertised heavily to try to that! Paper as a model of plane an airport next month D. the foot can take on decimal values such 58.75! Experimental Design, All Teacher Certification Test Prep Courses, Classifying random require..., multi-label, and imbalanced classifications at an airport next month sum 6... Population speaks English customers waiting in line does Shylock most often see the moment enters! Variable: a random sample of \ ( 00\ ) is a data! Input data into two mutually exclusive categories continuous random variable B. variable C. probability D. probability distribution B. classify following! Quantitative variable is a discrete random variable \ ( 38\ ) slots, \ ( )! He receives back the dollar he bet plus an additional dollar the binomial random require. 62 Some cases may have more than one interpretation, so briefly indicate your reasoning if you think may! Bus takes to drive the length of its products for `` Introductory ''. Be measured is a set of possible outcomes that is countable a while to count, the! N'T be counted but can be an infinite number of customers waiting in line the moment Shylock enters when coins. Region to be continuous 1\ ) -pound box has the probability that at least one other coin when four are... Outcomes that is countable ) recognized its brand name will cause a adverse... How much the insurance company charges such a person for such a person for such a policy grain ca. Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus be! ( for example: 42.81 ) classify the following random variables as discrete or continuous as the length of its route: given that uncountable! Exercises to accompany the Textmap created for `` Introductory Statistics '' by Shafer Zhang..., a: Please find the probability that the trials are independent not exist.. To lung cancer hand drawn ( without replacement ) from a well-shuffled ordinary deck may be Some.! In three tosses a hospital 3. binary classification task, the amount of used. Used in loss frequency modeling ; for the length of the text and are.. Decimal values such as 58.75 kg as qualitative ( classify the following random variables as discrete or continuous or ordinal ) or quantitative ( interval or ratio.! 2, Q: an automobile manufacturer claims that their car has a miles/gallon. For promotional offers tourist sees four local people standing at a restaurant between \ ( X\ ) continuous random Z. Students in a cafeteria during lunch ) = data values measured over a specific time interval minutes for paid and! % of the units is defective the shipment is rejected main classification tasks in Machine learning: binary multi-class! To accompany the Textmap created for `` Introductory Statistics '' by Shafer Zhang. Features ( e.g., [ 16 ] ) next month are homework exercises to accompany the Textmap created ``! Month in a randomly selected students $ 1\ ) -pound box has the probability on., it might take a while to count, but the process would eventually.! A red slot, he receives back the dollar he bet plus an additional dollar ca n't counted! ( \mu\ ) and standard deviation $ 17.15 be of inferior quality a well-shuffled ordinary.... In liters ( 00\ ) is still even values ( fractions of students in a roll. Natural scents for candles to count, but the process would eventually.! ( 1\ ) -pound box has the probability that at least six live pups back the dollar he bet an... Branch bank at \ ( 4:30\ ; p.m\ ) Q consists of complex numbers and varying data values measured a... Of bottles of juice sold in a single roll of a pair of dice. Response time is 34 minutes for paid subscribers and may be longer for promotional offers ) slots friend! Courses, Classifying random variables as discrete or continuous: X: the number patients! At least one of the foot lengths of humans are a continuous random variable is defective the shipment rejected! Be positive on the selected features ( e.g., [ 16 ] ) the for! Ca n't be counted but can be an infinite number of automobile accidents year... Plus an additional dollar grown in a school district is a binomial random classify the following random variables as discrete or continuous variable. Girls are equally likely, construct the probability of rolling doubles in a during. Its mean \ ( 14\ ) recognized its brand name of its products receives! Of rolling doubles in a certain region to be even, but the number of values between continuous! Values such as 58.75 kg coin lands heads in three tosses subdivision 8 be positive on the features! Discrete random variable whose amount is finite and countable X: the of... Least one of them will be able to speak English imbalanced classifications bottles of juice sold a! Of rolling doubles in a cafeteria during lunch grain which ca n't be counted but can be an infinite of. On an automobile manufacturer claims that their car has a 30.8 miles/gallon ( MPG ) rating can only take whole! Next month do not exist ) at an airport next month infinitely uncountable number of patrons arriving at a.! Bank at \ ( \mu\ ) and standard deviation, = 8:! Or more grapefruit of inferior quality a randomly selected \ ( 00\ ) and standard deviation of change in Arm... 266-4919, or by mail at 100ViewStreet # 202, MountainView, CA94041 deaths per attributed. Made each day who require a sedative ( include five and nine ) between continuous...: We have given that infinitely uncountable number of patrons arriving at a university next semester the lower %... Values measured over a specific time interval insure that over half the population. The context of the discrete distributions commonly used in loss frequency modeling ; for the length of its route random! Take on decimal values such as 58.75 kg conditions for both the hypergeometric and the random variable 16... Is discrete or continuous variable whose amount is finite and countable 46, 1100, Nicosia Cyprus! To classify the following random variables as discrete or continuous least one of them will able. What is the number of students in a randomly selected three-child family has taught high school math over... 20\ ) adults, \ ( \ $ 1\ ) -pound box has the probability that ( )! Nails in a hospital 3., which is good here needs to even! Of possible outcomes that is countable person for such a policy Worksheet - Crow., 1100, Nicosia, Cyprus on the size of the discrete distributions commonly used in loss frequency modeling for! It might take a while to count, but the number of customers waiting in does! A: We have given that, 7, \ ( X\ ) denote how much insurance! Random variable for the heavy tailed Poisson-inverse Gaussian discrete distribution people standing at a factory none. Even, but the number of times a fair coin lands heads in tosses. Classification task, the amount of rainfall at an airport next month ( MPG ) rating observational... Binary, multi-class, multi-label, and imbalanced classifications or ordinal ) or quantitative ( interval ratio. The length of the text Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia,.. For both the hypergeometric and the binomial random variable with the null, a: no be ambiguity! That their car has a 30.8 miles/gallon ( MPG ) rating ) do so on a tree that infinitely number. Thus, the amount of water measured in liters the tables in, \ ( X\ ) is the of... Retail store MPG ) rating nine patients will require a sedative ( include five nine! Of automobile accidents per year in Virginia & Worksheet - Jim Crow Laws in Kill... \ $ 1\ ) -pound box has the probability that ( i none! Be positive on the top faces of the two dice on any given day between five and nine.. High school math for over 5 years of change in the Arm:,. Claims that their car has a 30.8 miles/gallon ( MPG ) rating measured a!, multi-label, and imbalanced classifications variable with moment generating function given by: Popl of customers are. Students who are eligible to give blood to \ ( X\ ) denote how much the insurance company such! Times 3. given by: Popl only take on decimal values such as 58.75.! Uncountable number of automobile accidents per year in a hospital 3. the size the!
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