SOLUTION: estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. with n= 80 and p= 0.40,estimate P (fewer than 8)

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Question 801848: estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
with n= 80 and p= 0.40,estimate P (fewer than 8)
Answer by stanbon(75887) About Me  (Show Source):
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estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
with n= 80 and p= 0.40,estimate P (fewer than 8)
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mean = np = 80*0.4 = 32
std: sqrt(npq) = sqrt(32(0.6)) = 4.3818
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Binomial:: P(x < 8)
Normal approx:: P(0<= x <= 8.5)
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z(0) = (0-32)/4.3818 = -7.3029
z(8.5) = (8.5-32)/4.3818 = -5.36
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P(x < 8.5)= P(-7.3029 < z < -5.36)
= normalcdf(-7.3029,-5.36) = 4.1x10^-8
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