Question

Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X...

Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X 6 8 10 12 14 P(x) .25 .10 .30 .10 .25

Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
6 0.25 1.5 9
8 0.1 0.8 6.4
10 0.3 3 30
12 0.1 1.2 14.4
14 0.25 3.5 49
Sum 1 10 108.8

Mean = X * P(X)

= 10

Standard deviation =

= X 2 * P(X) - 2

= 108.8 - (10)2 = 8.8

Standard deviation = = 2.9665

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