# Probability (Continuous Random Variables)

1. Suppose that a variable x has the following distribution function:

f(x) = 0.0800x for x between 0 and 5.0

What is the population mean?

2. Suppose that a variable x has the following distribution function:

f(x) = 0.3200x for x between 0 and 2.5

What is the population variance?

3. Suppose that a variable x has the following distribution function:

f(x) = 0.02000x for x between 0 and 10

What is the value of the cumulative distribution function (F(x))at x = 6?

4. Suppose that a variable x has the following distribution function:

f(x) = 0.01683x for x between 0 and 11

What is the value F(7) - F(4)?

5. Suppose that a variable x has the following distribution function:

f(x) = 0.01389x for x between 0 and 12

What is the probability that x takes on a value between 4 and 10?