A nonnegative function is called a probability density function if The probability that x lies between

A nonnegative function ƒ is called a probability density function if

The probability that x lies between a and b is given by 

The expected value of x is given by

In Exercises 

(a) Show that the nonnegative function is a probability density function

(b) Find P(0 ≤ x ≤ 4)

(c) Find E(x).

Transcribed Image Text:

f(t) dt = 1.