Let c >0 and 0 ≤ a ≤ 1. Also let X, Y, and T be random variables. a. If P(X >c) = a, determine P(X ≤ c) in terms of a. b. Suppose that P(Y >c) = a/2 and P(Yc). Determine P(-c ≤ Y ≤ c) in terms of a....

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

a. If P(X >c) = a, determine P(X ≤ c) in terms of a.
b. Suppose that P(Y >c) = a/2 and P(Y< -c)="P(Y">c).

Determine P(-c ≤ Y ≤ c) in terms of a.

c. Suppose that P(-c ≤ T ≤ c) = 1 - a and also suppose that

P(T< -c)="P(T">c). Find P(T >c) in terms of a