SOLUTION: n is the sample size p is the population proportion of successes X is the number of successes in the sample Use the Normal approximation to find the Binomial probability.

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Question 857316: n is the sample size
p is the population proportion of successes
X is the number of successes in the sample
Use the Normal approximation to find the Binomial probability.
n = 538, p = 0.86, P (X< 450)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Normal approximation to find the Binomial probability.
n = 538, p = 0.86, P (X< 450)
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mean = np = 538*0.86 = 462.68
std = sqrt(npq) = sqrt[462.68*0.14] = 8.05
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z(450.5) = (450.5-462.68)/8.05 = -1.5130
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P(X < 450) = P(z < 0-1.5130) = normalcdf(-100,-1.5130) = 0.0651
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Cheers,
Stan H.
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