A random variable X takes values between 0 and 4 with a

Chapter 2, Problem 2.2.4

(choose chapter or problem)

A random variable X takes values between 0 and 4 with a cumulative distribution function F(x) = x2 16 for 0 x 4. (a) Sketch the cumulative distribution function. (b) What is P(X 2)? (c) What is P(1 X 3)? (d) Construct and sketch the probability density function. (This problem is continued in 2.3.11 and 2.4.6.)

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