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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 ≥ 0 otherwise (a) f(x, y) = Is f a joint density function? Yes 0 No (b) Find P(Y 28). (Round your answer to four decimal places.) 0.2019 Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)

Suppose X and Y are random variables with the given joint density function. 0.1e-(0.5x+0.2y) if x ≥ 0, y ≥ 0 otherwise (a) f(x, y) = Is f a joint density function? Yes 0 No (b) Find P(Y 28). (Round your answer to four decimal places.) 0.2019 Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Kindly solve part B Correctly in the order to get positive feedback please provide me ? percent accuracy
Suppose X and Y are random variables with the given joint density function. 0.1e-(0.5x+0.2y) if x ≥ 0, y ≥ 0 otherwise (a) f(x, y) = Is f a joint density function? Yes 0 No (b) Find P(Y≥ 8). (Round your answer to four decimal places.) 0.2019 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 ≥ 0 otherwise (a) f(x, y) = Is f a joint density function? Yes 0 No (b) Find P(Y≥ 8). (Round your answer to four decimal places.) 0.2019 Find P(X ≤ 5, Y ≤ 7). (Round your answer to four decimal places.)
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