Let X and Y be two continuous random variables with joint probability density function f(x,y) = 12/5xy(1+y) for 0 ≤x ≤1 and

Question

Let X and Y be two continuous random variables with joint probability density function

f(x,y) = 12/5xy(1+y)    for 0 ≤x ≤1 and 0 ≤ y ≤ 1

• Find the probability P(1/4 ≤ X ≤1/2, 1/3 ≤ Y ≤ 2/3).
• Determine the marginal distribution functions of X and Y
• Determine the conditional probability density function of X and Y

Kunduz · Accepted Answer

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