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Calculate the standard deviation σ of X for the probability distribution. (Round your answer to two...

Calculate the standard deviation σ of X for the probability distribution. (Round your answer to two decimal places.) σ = x 1 2 3 4 P(X = x) 0.4 0.2 0.2 0.2

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Expert Solution

Solution :

Mean = = X * P(X)

=1 * 0.4 + 2 * 0.2 + 3 *0.2 + 4 * 0.2

= ( 0.4+ 0.4 +0.6 +0.8 )

= 2.2

Standard deviation =

=X 2 * P(X) - 2

=  [ 12 * 0.4 + 22 * 0.2 + 3 2*0.2 + 42 * 0.2] -2.22

= [( 0.4+ 0.8 +1.8 + 3.2) )] -4.84

= 6.2-4.84

=1.36

=1.166

answer=1.17

orchestra answered 2 years ago
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