Suppose that X and Y have joint pdf $f(x,y) = \begin{cases} 8xy & 0 < y < x < 1 \\ 0 & \text{otherwise} \end{cases}$ a. Find P(X ? 0.5 | Y = 0.65). b. Find P(X ? 0.5 | Y ? 0.65).
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5 | Y = 0.65), we need to find the conditional probability of X being greater than 0.5 given that Y is equal to 0.65. We can use the definition of conditional probability: P(X > 0.5 | Y = 0.65) = P(X > 0.5 and Y = 0.65) / P(Y = 0.65) Show more…
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