Let c > 0 and 0 1. Also let X, Y, and T be random variables. a. If P(X > c) =

Let c > 0 and 0 ≤ α ≤ 1. Also let X, Y, and T be random variables.

a. If P(X >

c) = α, determine P(X ≤

c) in terms of α.

b. Suppose that P(Y >

c) = α/2 and P(Y < −c) = P(Y > c).

Determine P(−c ≤ Y ≤

c) in terms of α.

c. Suppose that P(−c ≤ T ≤

c) = 1 − α and also suppose that P(T < −c) = P(T > c). Find P(T >

c) in terms of α.