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I need help with this problem. I has several parts to be answered. Is anyone able to help?
College students often make a substantial portion of the population of college cities and towns.
State College, Pennsylvania, ranks first with 71.1% of its population made up of college
students. What is the probability that in a random sample of 150 people from State College, more
than 50 are not college students?
n=
p=
Solution
Given n=150, p=0.711
mean=n*p=150*0.711=106.65
s=n*p*(1-p)=sqrt(150*0.711*(1-0.711))=5.55
So the probability is
P(X>50) = P((X-mean)/s >(50-106.65)/5.55)
=P(Z>-10.21)
=1 (check standard normal table)

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I need help with this problem. I has several parts to be answered. I.pdf

  • 1. I need help with this problem. I has several parts to be answered. Is anyone able to help? College students often make a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1% of its population made up of college students. What is the probability that in a random sample of 150 people from State College, more than 50 are not college students? n= p= Solution Given n=150, p=0.711 mean=n*p=150*0.711=106.65 s=n*p*(1-p)=sqrt(150*0.711*(1-0.711))=5.55 So the probability is P(X>50) = P((X-mean)/s >(50-106.65)/5.55) =P(Z>-10.21) =1 (check standard normal table)