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

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) (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.
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