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)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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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