SOLUTION: Consider a binomial experiment with 20 trials and probability 0.45 on a single trial. Use an approximatation to the normal distribution to find the probability of exactly 10 succes

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Question 598197: Consider a binomial experiment with 20 trials and probability 0.45 on a single trial. Use an approximatation to the normal distribution to find the probability of exactly 10 successes. Round your answer to the thousandths place.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider a binomial experiment with 20 trials and probability 0.45 on a single trial. Use an approximatation to the normal distribution to find the probability of exactly 10 successes. Round your answer to the thousandths place.
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u = np = 20*0.45 = 9
s = sqrt(npq) = sqrt(9*0.55) = 2.22
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z(9.5) = (9.5-9)/[2.22/sqrt(20) = 1.007
z(10.5) = (10.5-9)/[2.22/sqrt(20)] = 3.0217
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P(x = 10) ~ P(1.007< z < 3.0217) = 0.1557
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Cheers,
Stan H.