G (12 points) The time between incoming phone calls at a call center is a random variable with exponential density p(x) = 1 r e −x/r on [0, [infinity]), where r = 20 ln(2). a. Verify that the function p(x) is a Probability Density Function.

Explanation:

A function f(x) is a Probability Density Function if it satisfies the following conditions:

Given the function:

(1)p(x) is greater than zero since the range of exponents of the Euler's number will lie in

(2)

The function p(x) satisfies the conditions for a probability density function.

if the person is shown to have +90n, then ans is -10n.

if the person is shown to have -90n, then ans is +10n.