SOLUTION: Assume the probability that a person gets the flu during a calendar year is p=.25. A random sample of n=1000 people are chosen at random. Using the normal approximation of the bi

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Question 1052951: Assume the probability that a person gets the flu during a calendar year is p=.25. A random sample of n=1000 people are chosen at random. Using the normal approximation of the binomial, find the probability that 260 or less of these people end up getting the flu.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(flu) = .25, n = 1000
Using the normal approximation of the binomial
mean = np = 250
sd = sqrt(npq) = sqrt(250*.75) = 13.693
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P(x<=260)
z = (260-250)/13.693 = 10/13.693 = .73
P(z<= .73) = .7673 0r 76.73%