Question

Suppose X is the time it takes, in minutes, for you to ride your bike to...

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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