Question

Compute the mean and standard deviation of the random variable with the given discrete probability distribution....

Compute the mean and standard deviation of the random variable with the given discrete probability distribution.

x

Px

−3

0.23

−2

0.15

7

0.25

9

0.27

10

0.1
Math   Statistics-And-Probability   
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Answer #1

Solution

x P(x) x * P(x) x2 * P(x)
-3 0.23 -0.69 2.07
-2 0.15 -0.3 0.6
7 0.25 1.75 12.25
9 0.27 2.43 21.87
10 0.1 1 10
1 4.19 46.79

a ) Mean = = X * P(X) = 4.19

b ) Standard deviation = =X 2 * P(X) - 2  

=46.79 - 17.5561

  =29.2339

= 5.4068

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