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Based on a previous study, in 2005, 50% of all American
Solution
Given n=150, p=0.5
mean=n*p=150*0.5=75
s=?n*p*(1-p)=sqrt(150*0.5*0.5)= 6.12
So the probability is
P(X>84)=P((X-mean)/s >(84-75)/6.12)
=P(Z>1.47)
=0.0708 (check standard normal table)

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Based on a previous study, in 2005, 50 of all AmericanSolution.pdf

  • 1. Based on a previous study, in 2005, 50% of all American Solution Given n=150, p=0.5 mean=n*p=150*0.5=75 s=?n*p*(1-p)=sqrt(150*0.5*0.5)= 6.12 So the probability is P(X>84)=P((X-mean)/s >(84-75)/6.12) =P(Z>1.47) =0.0708 (check standard normal table)