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.

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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(75887) (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
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You need the t-value of 40
t(40) = (40-36)/[84/sqrt(200)] = 0.6734
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p(x>40) = P(t>0.6734 with df = 199) = 0.2507
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Cheers,
Stan H.