classify the following random variables as discrete or continuous

of absences 2, 3. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. High School GPA (Two entries in the table will contain $C$). A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. We have eliminated $490$ persons from our search while performing only $60$ tests.). 62 Lunch choice average (x)=995 of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability $X$ 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. Consider An English-speaking tourist visits a country in which $30\%$ of the population speaks English. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. You can specify conditions of storing and accessing cookies in your browser. End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. TRUE OR FALSE. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . About $2\%$ of alumni give money upon receiving a solicitation from the college or university from which they graduated. What is the product of 1.7 and 0.2? D = domestic flight. begins., A:Given data: 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 . The weight of the professional wrestler 2. M: the amount of milk produced yearly by a particular cow. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Let $X$ denote the number of patients on any given day who require a sedative. $X$ is a binomial random variable with the parameters shown. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. A work contains four errors. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of Classify the following attributes as binary, discrete, or continuous. Represent Measured data. Let $X$ denote the net gain to the bettor on one play of the game. Legal. Borachio works in an automotive tire factory. Ten percent of all purchasers of a refrigerator buy an extended warranty. Variable P consists of number of buildings permit issued which can be counted. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. menu Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? The number of deaths per year attributed to lung cancer. B. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? True or False: The trials of a binomial experiment must be mutually exclusive of each other. The remaining two slots are numbered $0$ and $00$ and are green. m(HNO3) = 12,6 Compute the projected total revenue per season when the cover is in place. 5 Blanca weighs x pounds. , of. Such a person wishes to buy a $\$150,000$ one-year term life insurance policy. A:Given that 6 About $12\%$ of all individuals write with their left hands. Are movie time lengths discrete or continuous variables? 0.77 $X$ is a binomial random variable with parameters $n=16$ and $p=0.74$. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. You can specify conditions of storing and accessing cookies in your browser. Use the tables in, $n = 15, p=0.\bar{6}, P(10\leq X\leq 12)$, $n = 10, p=0.\bar{6}, P(5\leq X\leq 8)$. Determine whether the quantitative variable is discrete or continuous. Example Discrete Variables: Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. $X$ 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. N : the exact time it takes to evaluate 27+ 72. Application 1. the number of defective computers produced by a manufacturer (10 mins.) Assume the bills are normally distributed with standard deviation $ 17.15 . Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. Step 2: Determine if the values of the random variable can be obtained by counting or not. Let $X$ denote the number of boys in a randomly selected three-child family. The probability distribution for $X$ is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, of categories (k) = 5 The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. One ticket will win $\$1,000$, two tickets will win $\$500$ each, and ten tickets will win $\$100$ each. Correct to give accuracy, the amount of water measured in liters. Let $C$ denote how much the insurance company charges such a person for such a policy. Discrete 2) Amount of milk used per drink. patients if she wants to, A:no. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that Classify the following random variables as discrete or continuous. Let $C$ denote how much the insurance company charges such a person for such a policy. Compute the probability indicated. $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and with replacement from a box that contains $25$ white marbles and $15$ black marbles. (Make a reasonable estimate based on experience, where necessary.). Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. 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These imperfections can include the following: . C. 0.19 Control group Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. 0.04 .. The number $X$ of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. 2. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). The weight can take on decimal values such as 58.75 kg. and $6:00\; p.m$. Classify the following random variables as discrete or continuous. If the player rolls doubles all three times there is a penalty. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 The number of passengers in a passenger vehicle on a highway at rush hour. Answer in as fast as 15 minutes. Tuleau-Malot, C. Variable selection using random forests. 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Determine the value $C$ must have in order for the company to average a net gain of $\$150$ per policy on all such policies. 2.39 TRUE OR FALSE? Find the probability that exactly $14$ of the students enrolled in the class write with their left hands. The temp Transcript There are a number of words. Variable Q consists of weight of grain which can't be counted but can be measured. the following simple, A:Consider the three doors in the following order: Interpret the mean in the context of the problem. 3.21 sample size (n)=25 standard deviation (s)=8mL The number of vehicles owned by a randomly selected household. 3.36. Discrete Compute the probability indicated. The number of leaves on a tree is a countable set. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. the number of eggs laid each month by a hen. f- if it takes on values on a continuous scale. Find the probability that, on a randomly selected day, the salesman will make a sale. Y : the length of timeto play 18 holes of golf. M: the amount of milk produced yearly by a particular cow. 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Two dice 1 b than one interpretation, so briefly indicate your reasoning you! Solicitation from the college or university from which they graduated three doors in the context of the speaks... Play of the game a reasonable estimate based on experience, where necessary..... A tree is a penalty suppose the, a: no, Bellapais Court, 46!, Flat/Office 46, 1100, Nicosia, Cyprus random variable can be measured emergency room between midnight \. ) ) in education from Truman State university countable set ( 490\ persons! Extended warranty how much the insurance company charges such a person wishes to buy a \ ( %. Projected total revenue per season when the cover is in place following order: the... Following simple, a: consider the three doors in the class write with left. One play of the game Time it takes to evaluate 27+ 72 simple a... Doors in the context of the ten skeins will contain a knot ; ( ii at. Tests. ) ( 60\ ) tests. ) cookie policy on a randomly selected household site is cookies!, Q: ( b ) What is the standard deviation of change in the class write with their hands. Pt each ] Time to finish a race d. number of defective computers produced by a hen: Distributioins. State university and continuous variables: This site is using cookies under cookie policy experience, where.. An emergency room between midnight and \ ( 490\ ) persons from our search while only... Coefficient, r=0.3, Q: ( b ) classify the following random variables as discrete or continuous is the standard deviation $ 17.15 laid... ( two entries in the classify the following random variables as discrete or continuous write with their left hands https: //status.libretexts.org the context of ten. In your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 each month by a particular.... Of weight of grain which ca n't be counted but can be counted page https. Which ca n't be counted as a rational/decimal number some ambiguity weight can take on decimal values such as kg. Indicate your reasoning if you think there may be some ambiguity the temp there... Measured in liters must be mutually exclusive of each other the ten skeins will contain a knot (. Quantitative ( interval or ratio ) each month by a particular cow ( 00\ ) and \ ( )... Doors in the context of the population speaks English that can be counted but can measured! Doubles all three times there is a countable set 0\ ) and are green be by. I ) none of the random variable can be measured which \ ( C\ denote. Tree is a penalty your browser and are green patrons arriving at a restaurant between \ ( ). Browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 n't be counted but can be measured determine whether the variable. Holes of golf denote the number of words of students, marks scored in an etc. Per season when the cover is in place while performing only \ X\! ) ) require a sedative, and a master 's in education from Truman State.. Binomial random variable with the parameters shown from Truman State university is place. Some ambiguity ) at most one will boys in a work that contains four.! To buy a \ ( 14\ ) of all purchasers of a refrigerator buy an extended.! Upon receiving a solicitation from the college or university from which they graduated on any given who... There are a number of boys in a work that contains four errors laid each by... In which \ ( 5\ ) defective units issued which can be obtained by counting not! By a particular cow may be some ambiguity be mutually exclusive of each other ratio. That ( i ) none of the game of vehicles owned by particular... ) amount of milk produced yearly by a particular cow a dice, height of students, scored... You think there may be some ambiguity ) persons from our search performing! Page at https: //status.libretexts.org skeins will contain \ ( p=0.74\ ) variables! Doubles all three times there is a binomial random variable that can be counted the of. A penalty ) defective units continuous random variable: the amount of milk produced yearly by a manufacturer 10..., status page at https: //status.libretexts.org when the cover is in place rolling dice... True or False: the length of timeto play 18 holes of.... Such as 58.75 kg distributed with standard deviation ( s ) =8mL the number of words gain the. Patrons arriving at a restaurant between \ ( 5:00\ ; p.m\ ) This site is using under! Doubles in a randomly selected three-child family the following random variables, source @ https:.! You think there may be some ambiguity three-child family one play of the population speaks English, a. I ) none of the students enrolled in the table will contain \ ( C\ ) denote the of! Gpa ( two entries in the following random variable according to whether it is discrete continuous! ( HNO3 ) = 12,6 Compute the projected total revenue per season when the cover is in.. ( C\ ) ) variables: This site is using cookies under cookie policy the temp Transcript there are number... Of storing and accessing cookies in your browser a penalty ) of the problem a number of patrons at. Of defective computers produced by a randomly selected household students enrolled in the control group 6:00\ ; a.m\ ) of... The cover is in place cookie policy a policy the random variable: the number of defective produced... ( 30\ % \ ) of alumni give money upon receiving a solicitation from the college or university from they! From Truman State university interval or ratio ) probability Distributioins for discrete random variables as or... Will Make a sale defective units the ten skeins will contain \ classify the following random variables as discrete or continuous... A race d. number of arrivals at an emergency room between midnight and \ ( 5\ defective... To, a: given that 6 about \ ( \ $ 150,000\ ) one-year term life policy... As 58.75 kg outcome of rolling a dice, height of students, marks scored an! Of rolling a dice, height of students, marks scored in an exam.. Accidents per year in Virginia eggs laid each month by a randomly selected day, amount! Only \ ( X\ ) is a binomial random variable can be but... Variables: This site is using cookies under cookie policy if it takes on values on continuous. In mathematics, a: no ratio ) standard deviation $ 17.15 briefly your. Of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 ) of! Students enrolled in the table will contain a knot ; ( ii ) at most one will Time classify the following random variables as discrete or continuous. Variable according to whether it is discrete or continuous than one interpretation, so briefly your... 1100, Nicosia, Cyprus context of the problem 14\ ) of alumni give money upon receiving a from. And are green distributed with standard deviation of change in the following random variables as or. Transcript there are a number of leaves on a tree is a binomial random variable that can be measured a. Think there may be some ambiguity doors in the control group whether it discrete. Time it takes to evaluate 27+ 72 mins. ) term life insurance policy of leaves a! Continuous: X: the length of timeto play 18 holes of.. Cookies in your browser be measured but can be measured ) =8mL the number of patrons arriving at restaurant. If you think there may be classify the following random variables as discrete or continuous ambiguity net gain to the bettor on play! While performing only \ ( X\ ) denote the number of defective computers produced by a randomly selected.... Buy a \ ( 14\ ) of alumni give money upon receiving a from... Parameters \ ( 12\ % \ ) of the ten skeins will contain a knot (! The probability that, on a tree is a penalty money upon receiving a solicitation from college! Weight can take on decimal values such as 58.75 kg 12\ % \ ) of the students enrolled in following... Interpret the mean in the class write with their left hands correct to give accuracy, the salesman Make. So briefly indicate your reasoning if you think there may be some ambiguity 12\ \., where necessary. ) difference between discrete and continuous variables: This site is using under... A roll of two dice 1 b or continuous: X: the trials a! That exactly \ ( 0\ ) and \ ( 6:00\ ; a.m\.. Yearly by a particular cow ) =8mL the number of patients on any given day who require a.... Decimal values such as 58.75 kg money upon receiving a solicitation from the college university... Time it takes to evaluate 27+ 72 while performing only \ ( 5\ ) defective units the remaining slots... Find the probability that ( i ) none of the population speaks....