Question

Find mean and variance of X from this discrete probability distribution. X = x| -10 |...

Find mean and variance of X from this discrete probability distribution.

X = x| -10 | -5 | 0 |   5 | 10 | 15

P(X = x)|   .34 | .1   | .16 | .07 | .26 | .07

Homework Answers

Answer #1


The statistic software output for this problem is :

x P(x) x * P(x) x2 * P(x)
-10 0.34 -3.4 34
-5 0.1 -0.5 2.5
0 0.16 0 0
5 0.07 0.35 1.75
10 0.26 2.6 26
15 0.07 1.05 15.75
Sum 1 0.1 80

Mean = = X * P(X) = 0.1

Variance = 2

= X 2 * P(X) - 2

= 80 - 0.12

= 79.99

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