Question: Assume the random variable y has the continuous uniform distribution defined on the interval a to b, that is, f (y) = 1/(b a),

Assume the random variable y has the continuous uniform distribution defined on the interval a to

b, that is, f (y) = 1/(b − a), a ≤ y ≤ b.

For this problem let a = 0 and b = 2.

(a) Find P(Y < 1). (Hint: Use a picture.)

(b) Find μ and σ 2 for the distribution. LO.1

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