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how do i do this question and what is the formula?

Statistics
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use the normal approximation to the binomial to find the probabilities for the specific values of X.

1. n+50, p+0.8, X=44

Apr 8th, 2015

std = sqrt(0.8*0.20*50) = 2.828

mu = 50*0.8 = 40

for x= 44, we can approximate with 43.5 x<44.5

 (43.5-40)3.5/2.828 <z<4.5/2.828 

 1.238<z<1.591

Pr (X = 44) = pr (1.238<Z<1.591) = pr(z<1.591)- pr (z<1.238) 

=0.9444 - 0.8925 = 0.0519

Apr 8th, 2015

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