Question

Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative...

Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15

Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
-41 0.29 -11.89 487.49
-27 0.35 -9.45 255.15
-8 0.21 -1.68 13.44
-3 0.15 -0.45 1.35
Sum 1 -23.47 757.43

Mean = X * P(X)

= -23.47

Variance =

= X 2 * P(X) - 2

= 757.43 - (-23.47)2 = 206.5891

Standard deviation = = 14.3732

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