function P(x) Csin(x)y, for 0 ≤ x ≤ and 1 ≤ y ≤ 2 h value of C is P(x) a joint probability density function for X and Y? ad Y independent random variables? Justify.
function P(x) Csin(x)y, for 0 ≤ x ≤ and 1 ≤ y ≤ 2 h value of C is P(x) a joint probability density function for X and Y? ad Y independent random variables? Justify.
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Transcribed Image Text:Joint Probability Density 1 (#integration)
Consider the function P(x) C'sin(x)y, for 0 ≤ x ≤ 7 and 1 ≤ y ≤ 2, and 0
elsewhere.
(a) For which value of C is P(x) a joint probability density function for random
variables X and Y?
(b) Are X and Y independent random variables? Justify.
(c) What is the probability that Y> X?
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