SOLUTION: Consider the probability that greater than 99 out of 152 students will pass their exam . Assume the probability that is given student will pass their exam is 61%

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Question 819923: Consider the probability that greater than 99 out of 152 students will pass their exam . Assume the probability that is given student will pass their exam is 61%
Answer by stanbon(75887) About Me  (Show Source):
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Consider the probability that greater than 99 out of 152 students will pass their exam . Assume the probability that is given student will pass their exam is 61%
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Use a normal approximation for this binomial problem.
u = np = 152*0.61 = 92.7
std = sqrt(npq) = sqrt(92.7*0.39) = 6.0134
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P(x >= 98.5) = ?
z(98.5) = (98.5-92.7)/6.01 = 0.9651
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P(x > 98.5) = P(z > 0.9651) = 0,1673
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Cheers,
Stan H.
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