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In: Statistics and Probability

Find the mean and standard deviation of the following probability distribution. x 0 0.8 1 2.3...

Find the mean and standard deviation of the following probability distribution. x 0 0.8 1 2.3 3 P(x) 0.27 0.18 0.06 0.19 0.30

Solutions

Expert Solution

Solution:

x P(x) x * P(x) x2 * P(x)
0 0.27 0 0
0.8 0.18 0.144 0.1152
1 0.06 0.06 0.06
2.3 0.19 0.437 1.0051
3 0.3 0.9 2.7
Sum 1 1.541 3.8803

Mean = X * P(X)

= 1.541

Standard deviation =

=X 2 * P(X) - 2

=  3.8803 - (1.541)2 = 1.505619

Standard deviation = = 1.2270

orchestra answered 2 years ago
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