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 7 8 9 10 11 P(x) 0.3 0.5 0.1 0.08 0.02

Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
7 0.3 2.1 14.7
8 0.5 4 32
9 0.1 0.9 8.1
10 0.08 0.8 8
11 0.02 0.22 2.42
Sum 1 8.02 65.22

Mean = X * P(X)

= 8.02

Variance

= X 2 * P(X) - 2

= 65.22 - (8.02)2 = 0.8996

Standard deviation = = 0.9484

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