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3. suppose the joint probability density function of x and y...

# Question: suppose the joint probability density function of x and y...

###### Question details

Suppose the joint probability density function of X and Y is

f(x,y) = 10(x^2)(y) , 0 <= y <= x <= 1

0 , o.w.

a ) Compute the marginal probability density functions fx(x) and fy(y)

b) Calculate P (Y >= X/2)

c ) Calculate P (X <= 1/2 and Y >= 3/4)

Thank you