1.Calculate the following factorials.

A.3!B.7!C.8!D.0!

6!

2.A coin is tossed four times.Let the "number of heads" in those four tosses be the random variable x.Find the mean, variance and standard deviation of x.

Complete the following table to help you find the mean, variance and standard deviation.

x

P(x)

xP(x)

x²

x²P(x)

Mean = ______________

Variance = ______________

Standard Deviation = ______________

3.Determine if the following are probability functions.

Answer YES or NO.

_______ A. P(x) = for x = 1, 2, 3, 4, 5, 6

_______ B. P(x) = for x = 6, 7, 8, 9

_______ C. P(x) = for x = 1, 2, 3, 4

_______ D. P(x) = for x = 3, 6, 9, 12

_______ E. P(x) = for x = 2, 3, 4, 5

_______ F. P(x) = for x = 1, 2, 3

_______ G. P(x) = 0.2 for x = 1, 2, 3, 4, 5

4.Complete the probability distribution for the probability function,

P = (x² + 5), for x = 1, 2, 3 and 4

50

After completing the table, calculate mean, variance and standard deviation.

x

P(x)

xP(x)

x²

x²P(x)

1

2

3

4

Mean = ______________

Variance = ______________

Standard Deviation = ______________