Let c > 0 and 0 1. Also let X, Y, and T be
Question:
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.
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