Suppose X and Y are random variables with joint density function. So.1e-(0.5x+0.2y) if x 2 0, y 2 0 lo f(x, y) = %3D otherwise (a) Is fa joint density function? Yes O No (b) Find P(Y 2 6). (Round your answer to four decimal places.) Find P(X S 5, YS 7). (Round your answer to four decimal places.) (c) Find the expected value of X. Find the expected value of Y.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 22CR
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Suppose X and Y are random variables with joint density function.
if x 2 0, y 20
f(x, y) = 0.1e-(0.5x + 0.2y)
otherwise
(a) Is fa joint density function?
Yes
O No
(b) Find P(Y 2 6). (Round your answer to four decimal places.)
Find P(X $ 5, YS 7). (Round your answer to four decimal places.)
(c) Find the expected value of X.
Find the expected value of Y.
Transcribed Image Text:Suppose X and Y are random variables with joint density function. if x 2 0, y 20 f(x, y) = 0.1e-(0.5x + 0.2y) otherwise (a) Is fa joint density function? Yes O No (b) Find P(Y 2 6). (Round your answer to four decimal places.) Find P(X $ 5, YS 7). (Round your answer to four decimal places.) (c) Find the expected value of X. Find the expected value of Y.
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