Needed to be solved part B in the order to get positive feedback Suppose X and Y are random variables with the given joint density function.0.1e-(0.5x+0.2y) if x ≥ 0, y 20otherwisef(x, y) =(a) Is f a joint density function?Yes(b)NoFind P(Y≥ 8). (Round your answer to four decimal places.)Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)

Given that Joint pdf of X and Y is f(x,y) = 0.1e-(0.5x+0.2y) , x > 0 , y > 0

Answered: (b) Find P(Y ≥ 8). (Round your answer…

(b) Find P(Y ≥ 8). (Round your answer to four decimal places.) Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Needed to be solved part B in the order to get positive feedback

Suppose X and Y are random variables with the given joint density function.
0.1e-(0.5x+0.2y) if x ≥ 0, y 20
otherwise
f(x, y) =
(a) Is f a joint density function?
Yes
(b)
No
Find P(Y≥ 8). (Round your answer to four decimal places.)
Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)

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