Suppose X is the time it takes, in minutes, for you to ride your bike to work, and assume that X ∼ Normal(µ = 15, σ2 = 4).
(a) Find P(X ≤ 15).
(b) Find P(X > 14).
(c) Find P(|X − 15| < 4).
(d) Find an interval within which X will fall with probability 90%.
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