Let Y1 and Y2 be random variables with joint density function f(y1, y2) = (6/7(y1^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2, 0, elsewhere a) Find marginal density functions. Are Y1 and Y2 independent? b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1). c) Find P(0.6 < Y1 < 1|0 < Y2 < 1).
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Let Y1 and Y2 be random variables with joint density function
f(y1, y2) = (6/7(y1^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2,
0, elsewhere
a) Find marginal density
b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1).
c) Find P(0.6 < Y1 < 1|0 < Y2 < 1).
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