**Problem Statement:**Let \( X \) and \( Y \) be continuous random variables and let \( (X, Y) \) be a joint random variable with the joint probability density function (pdf). The value \( c \) is constant and unknown:\[ f(x,y) = \begin{cases} c & \text{if } 0 \leq x \leq y \leq 2, \\0 & \text{else}\end{cases} \]**Questions:**a. What value of \( c \) is needed to ensure that the joint pdf is valid?b. What is the probability that \( X \) is greater than 0.5 and \( Y \) is less than 3?c. Find the expected value of \( X \).

Answered: Image /qna-images/answer/bca5e391-a790-4095-bd7f-3cce14facab4.jpg

Answered: a. What value of c is needed to ensure…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1) Assuming 6 degrees of freedom, find the following probability. P(T > 1.7) = 2) Assuming 16 degrees of freedom, find the following probability. P(T < – 2.024) =
Assume that the probability of a being born with Genetic Condition B is p=1/5. A study looks at a random sample of 971 volunteers.Find the most likely number of the 971 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let X represent the number of volunteers (out of 971) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =
Assume that the probability of a being born with Genetic Condition B is p = 7/60. A study looks at a random sample of 826 volunteers. Find the most likely number of the 826 volunteers to have Genetic Condition B. (Round answer to one decimal place.) H = Let X represent the number of volunteers (out of 826) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two ecimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Assume that the probability of a being born with Genetic Condition B is p = 11/60. A study looks at a random sample of 1384 volunteers. Find the most likely number of the 1384 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let X represent the number of volunteers (out of 1384) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=
4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2
1a. A random variable Z is normally distributed with mean 0 and standard deviation 1. It is known that P(Z 2.4) = b. This is shown in the following diagram. a -1.6 2.4 Find P(-1.6
The mean percent of childhood asthma prevalence in 43 cities is 2.39%. A random sample of 33 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o = 1.31%. The probability is (Round to four decimal places as needed.) 4
About 3% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 700. (If possible, round to 1 decimal place.)
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
Assume that the probability of a being born with Genetic Condition B is p = 4/15. A study looks at a random sample of 133 volunteers. Find the most likely number of the 133 volunteers to have Genetic Condition B. (Round answer to one decimal place.) Let X represent the number of volunteers (out of 133) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = Use the range rule of thumb to find the minimum usual value u-2o and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =
please find a, b, c and d
73. Complete the PDF and answer the questions. x P(x) xP(x) 0 0.3 1 0.2 2 3 0.4 Table 4.31 Find the probability that x = 2. Find the expected value.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

a. What value of c is needed to ensure that the joint pdf is valid? 14 b. What is the probability that X is greater than 0.5 and Y is less than 3? c. Find the expected value of X