SOLUTION: A fair coin is tossed 500 times. Use the normal approximation to the binomial distribution to estimate the probability that more than 265 heads or 265 tails appear.

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Question 818003: A fair coin is tossed 500 times. Use the normal approximation to the binomial distribution to estimate the probability that more than 265 heads or 265 tails appear.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A fair coin is tossed 500 times. Use the normal approximation to the binomial distribution to estimate the probability that more than 265 heads or 265 tails appear.
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mean = np = (1/2)500 = 250
std = sqrt[250(1/2)] = sqrt(125) = 11.18
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Your Problem:
P(x > 265) = P(x >= 264.5) = ?
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z(264.5) = (264.5-250)/11.18 = 1.30
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P(x > 265) = P(z > 1.3) = normalcdf(1.3,100) = 0.0968
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Cheers,
Stan H.
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