7. Suppose that the joint cumulative distribution function of X and Y is given byF(a,b) = 1 − 4¯la] 2 - [b]+2-²[a]-[¹] if a > 0 and b > 0,=0 otherwise. Here [x] is the largest integer smaller or equal to x ('roundingand F(a,b)down').(a) Determine the marginal cumulative distribution functions of X and Y.(b) Determine the marginal probability mass functions of X and Y. Do you recognize one ofthe standard probability distributions?(c) Determine the joint probability mass function of X and Y.(d) Are X and Y independent? Do this after the 10/10 lecture

Given,and 4 subparts need to be answered.

Answered: (a) Determine the marginal cumulative…

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

Statistics and Probability
Prob & Stat 1
The variance is a measure of the dispersion of the random variable about the mean. Variance example 1. Consider the density function (p +1)æP 0 < x < 1 f(x) otherwise where p is greater than -1. compute the Var(X)
1. or a cumulative distribution funetion (cdf). Decide if the function graphed below is a probability density function (pdf) 2c 4 8.
Data are obtained on the location of incidents on a 12-kilometer-long bridge. The distribution of the distance along the bridge (in kilometers) where an incident occurs is depicted in the density curve below. 12 Distance (kilometers) along the bridge where an accident occurs 12 1. The probability of an incident that occurs in any 4 kilometers long bridge segment is always distributed over any 4-kilometer interval. A. 1/3, uniformly B. 1/3, not uniformly C. 1/6, uniformly D. 1/2, not uniformly To put it another way, the probability is 2. What is P(9 < X < 12)? 1 Same as P(2 < X < 5). 2. Same as P(2 s X < 5). 3. Same as P(2 < X < 5). 4. Same as P(2 < X < 5). A. 1 B. 1 and 2 C. 2, 3, and 4 D. 1. 2. 3, and 4
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.48 and 0.62? (c) What is the probability of generating a number greater than 0.85? (a) Choose the correct graph of the uniform density function below. O A. O B. Density 1.2- 1- 0.8- 6. 0.6- 0 0.2 0.4 0.6 0.8 11.2 0.4- 0.2- to (b) The probability is (c) The probability is Q M (Simplify your answer.) (Simplify your answer.) ADensity 1.2- 1- 0.8- 0.6- 0.4- 0.2- to 0 0.2 0.4 0.6 0.8 1 1.2 Q M O C. 1.2- 1- 0.8- 0.6- 0.4- 0.2- Density 0+ 0 0.2 0.4 0.6 0.8 1 12 Q Q
statistic discrete rondom variable
a and b please
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.63 and 0.76? (c) What is the probability of generating a number greater than 0.83? (a) Choose the correct graph of the uniform density function below. A. В. ADensity 1.2- ADensity 1.2- 1- 0.8- 0.6- 0.4- 0.2- ADensity 1.2- 1. 0.8- 0.6- 0.4- 0.2- 0+ 1 0.8- 0.6- 0.4- 0.2- 0+ X X 0- 0 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (Simplify your answer.) (c) The probability is |. (Simplify your answer.)
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.27 and 0.85? (c) What is the probability of generating a number greater than 0.92? (a) Choose the correct graph of the uniform density function below. A. B. Density 1.2- 1- 0.8- 606 0.6- 0.4- 0.2- 0 0.2 0.4 0.6 0.8 1 1.2 1.2- 1- 0.8- 0.6- 0.4- 0.2- 0+ Density X 0 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (c) The probability is to (Simplify your answer.) (Simplify your answer.) X C. 1.2- 1- 0.8- 0.6- 0.4- 0.2- Density 0 0.2 0.4 0.6 0.8 X 1 1.2
iv-vi

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