A random variable X takes values between2 and 3 with a

Chapter 2, Problem 2.2.3

(choose chapter or problem)

A random variable X takes values between2 and 3 with a probability density function f (x) =15 64 +x 64, 2 x 0f (x) =3 8 +cx, 0 x 3 and f (x) =0 elsewhere. (a) Find the value of c and sketch the probability density function. (b) What is P(1 X 1)? (c) Construct and sketch the cumulative distribution function.

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