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 1 year ago

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