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7. (Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by 152y for 0 0 otherwise < y<1 f(r, y) (a) Verify that this is a valid pdf. (b) What is P(X Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)

7. (Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by 152y for 0 0 otherwise < y<1 f(r, y) (a) Verify that this is a valid pdf. (b) What is P(X Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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7. (Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by 152y for 0 0 otherwise < y<1 f(r, y) (a) Verify that this is a valid pdf. (b) What is P(X Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)
Transcribed Image Text:7. (Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by 152y for 0 0 otherwise < y<1 f(r, y) (a) Verify that this is a valid pdf. (b) What is P(X Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)
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