(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.)

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 30CR
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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.)
Transcribed Image Text: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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