# SOLUTION: 13.) Of the total population of older Americans, 18% live in Florida. For a randomly selected sample of 200 older Americans, find the probability that more than 40 live in Florida.

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: 13.) Of the total population of older Americans, 18% live in Florida. For a randomly selected sample of 200 older Americans, find the probability that more than 40 live in Florida.      Log On

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 Question 187898This question is from textbook Elementary statistics : 13.) Of the total population of older Americans, 18% live in Florida. For a randomly selected sample of 200 older Americans, find the probability that more than 40 live in Florida. This is my work p=0.18 q= 0.82 and n=200 np= (2000(0.18)=36 nq=(200)(0.82)=164 square root of npq= square root of 29.52= 5.43 p(x>40) then im not sure what is next please help me with this problem. Thanks!This question is from textbook Elementary statistics Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!Of the total population of older Americans, 18% live in Florida. For a randomly selected sample of 200 older Americans, find the probability that more than 40 live in Florida. This is my work p=0.18 q= 0.82 and n=200 np= (200(0.18)=36 nq=(200)(0.82)=164 square root of npq= square root of 29.52= 5.43 -------------- You need the t-value of 40 t(40) = (40-36)/[84/sqrt(200)] = 0.6734 -------- p(x>40) = P(t>0.6734 with df = 199) = 0.2507 ------------------------------------- Cheers, Stan H.