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# Probability (Continuous Random Variables)

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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?

https://brainmass.com/statistics/probability/probability-continuous-random-variables-112071

#### Solution Preview

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 ...

#### Solution Summary

Answers five probability question on continuous random variables with different distributions.

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