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Use n = 10 and p = 0.85 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the g

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Answer #1

x~B(n=10 , p=0.85)

P(X = 1) =

using this binomial distribution:

x P(x) x*P(x) x^2*P(x)
0 5.7665E-09 0 0
1 3.2677E-07 3.27E-07 3.27E-07
2 8.3326E-06 1.67E-05 3.33E-05
3 0.00012591 0.000378 0.001133
4 0.00124866 0.004995 0.019978
5 0.00849086 0.042454 0.212271
6 0.04009571 0.240574 1.443445
7 0.12983372 0.908836 6.361852
8 0.27589666 2.207173 17.65739
9 0.34742542 3.126829 28.14146
10 0.1968744 1.968744 19.68744
sum 55 1 8.5 73.525

mean = sum(x*p(x)) = 8.5

standard deviation = sqrt (sum(x^2p(x)) - mean^2)

= 1.1291

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