# Question: suppose fy y y3 for 0 y lt...

###### Question details

Suppose FY (y) = y^{3} for 0 ≤ y < 1/2, and FY (y) =
1 − (1-y)^{3} for 1/2 ≤ y ≤ 1. Compute each of the
following.

(a) P(1/3 < Y < 3/4)

(b) P(Y = 1/3)

(c) P(Y = 1/2)

Suppose FY (y) = y^{3} for 0 ≤ y < 1/2, and FY (y) =
1 − (1-y)^{3} for 1/2 ≤ y ≤ 1. Compute each of the
following.

(a) P(1/3 < Y < 3/4)

(b) P(Y = 1/3)

(c) P(Y = 1/2)