Statistics

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Many women take oral contraceptives to prevent pregnancy. Under ideal conditions, 1% will become pregnant within one year. In typcal use, 5% become pregnant. Choose 20 random women taking the pill. How many become pregnant in the next year?
a. What is the probability that at least one woman becomes pregnant under ideal conditions?
b. What is the probability in typical use?

Part 2-Based on a random sample of 500 women taking the pill:
c. Based on the information about typical use in b, what is the probablity that at least 25 of these women become pregnant in the next year? Check that the Normal approximation is permissable and use it to find this probability.
d. We can't use the Normal approximation to the binomial distributions to find thisprobability under ideal conditions as described in Part I. Why not?

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