SOLUTION: Please help! 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

Algebra ->  Probability-and-statistics -> SOLUTION: Please help! 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       Log On


   



Question 168703: Please help!
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

Answer by stanbon(75887) About Me  (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
--------------------
The mean of the distribution of sample proportions is "np" = 0.18*200 = 36
The standard deviation of sqrt(npq) = sqrt(36*0.82) = 5.4332
----------------------------
z(40) = (40-36)/5.4332 = 0.7362
-------------------
P(x>40) = P(z>0.7362) = 0.23000
=================================
Cheers,
Stan H.