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Stat 215 Assignment 10

# Stat 215 Assignment 10 - Stat 215 Assignment 10 Module...

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Stat 215 Assignment 10 Module: NormalApprox , Exercise: Births Objective : (not available) Problem Description : The probability a birth results in a girl baby is 0.5, at least to a close approximation. Of the next 40 births, we are interested in the number of girl births. The following normal approximation to the normal applet displays the probabilities of a random variable X with n = 40 and p = 0.5. Use this applet to answer the questions below. Question Are we justified in using the normal distribution to approximate the assumed binomial distribution? Why? Answer Yes, to a close approxmation since np = n(1-p) = 40 (.5) = 20 > 5. This indicates that the normal approximation should be good. The approximation also depends on the original binomial assumptions being correct. It is plausible to assume that the probability of a girl is constant from birth-to-birth and that births are independent. Your

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Stat 215 Assignment 10 - Stat 215 Assignment 10 Module...

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