SOLUTION: Using normal approximation, what is an estimation of the probability of getting more than 51 girls in 100 births, assuming that boys and girls are equally likely.

Question 427437: Using normal approximation, what is an estimation of the probability of getting more than 51 girls in 100 births, assuming that boys and girls are equally likely.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using normal approximation, what is an estimation of the probability of getting more than 51 girls in 100 births, assuming that boys and girls are equally likely.
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mean = np = 100(1/2) = 50
std = sqrt(npq) = sqrt(25) = 5
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z(49.5) = (49.5-50)/5 = -0.5/5 = -0.1
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z(100.5) = (100.5-50)/5 = 10.1
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P(51< x <=1) = P(-0.1< z <= 10.1) = 0.5398
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Cheers,
Stan H.
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