Question

Find the mean, variance and standard deviation for the probability distribution given below: X 0 5...

Find the mean, variance and standard deviation for the probability distribution given below:

X 0 5 8 10
P(X) 0.598 0.136 0.208 0.058

A. Mean =

B. Variance =

C. Standard Deviation =

Math   Statistics-And-Probability   
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Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
0 0.598 0 0
5 0.136 0.68 3.4
8 0.208 1.664 13.312
10 0.058 0.58 5.8
Sum 1 2.924 22.512

A.

Mean = X * P(X)

= 2.924

B.

Variance

= X 2 * P(X) - 2

=  22.512 - (2.924)2 = 13.96222

c.

Standard deviation = = 3.7366

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