Solutions Probability

Suppose that the random variables Y1 and Y2 have joint probability density function, f(y1, y2), give

Question: Suppose that the random variables Y1 and Y2 have joint probability density function, f(y1, y2), given by

f(y1, y2)= 6y12y2, 0 ≤ y1 ≤ y2, y1 + y2 ≤ 2,

0, elsewhere

a. Find the marginal density of Y1.

b. Find the marginal density of Y2.

c. Derive the conditional density of Y2 given Y1 = y1.

d. Find P(Y2 < 1.1 l Y1 = .60).

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