2. Let X be exponential with rate lambda. What is the pdf of Y = X^0.5?...

2. Let X be exponential with rate lambda. What is the pdf of Y = X^0.5? How about Y = X^3? Contrast the complexity of this result to transformation of a discrete random variable.

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milcah answered 1 year ago

2. Let X ~ exponential(lambda). Find the 2.5th percentile and the 97.5th percentile of X, that...

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Let X and Y be continuous random variables with joint pdf f(x, y) = kxy^2 0 < x, 0 < y, x + y < 2 and 0 otherwise 1) Find P[X ≥ 1|Y ≤ 1.5] 2) Find P[X ≥ 0.5|Y ≤ 1]

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