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Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.3​, 0.3​, and 0.4​, respectively. What is the standard deviation of this​ customer's book​ purchases?

x p x.p x.^2.p
0 0.3 0 0
1 0.3 0.3 0.3
2 0.4 0.8 1.6
       
sum   1.1 1.9
       

Standard deviations = sqrt(1.9 - 1.1^2) =   0.831

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