Question

Given the following probability distribution, calculate the variance. x P(x) 1 0.123 2 0.238 3 0.542...

Given the following probability distribution, calculate the variance.

x

P(x)

1

0.123

2

0.238

3

0.542

4

0.097
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
1 0.123 0.123 0.123
2 0.238 0.476 0.952
3 0.542 1.626 4.878
4 0.097 0.388 1.552
Sum 1 2.613 7.505

Mean = X * P(X)

= 2.613

Variance =

= X 2 * P(X) - 2

= 7.505 - (2.613)2 = 0.677231

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