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regularly every 12 weeks. Under ideal conditions, only 1% of women getting the s

ID: 3368682 • Letter: R

Question

regularly every 12 weeks. Under ideal conditions, only 1% of women getting the shot become pregnant within one year. In typical use, however, 3% become pregnant choose at random 20 women using the shot as their rnethod of birth control. We count the number who become pregnant in the next year. Step 1: Explain why this is a binomial setting. This is not a binomial setting because all women are not independent in terms of pregnancies. O Because the women are independent and their number is fixed. Because the women are independent and the probability of getting pregnant is the same for all women. O Because the women are independent, the probability of getting pregnant is the same for all women and the number of women is fixed Step 2: What is the probability that at least one of the women becomes pregnant under ideal conditions? 0.1821 0.8180 0.1652 Type here to search

Explanation / Answer

Step1) because the women are independent,the probability of getting pregnant is the same for women and the number of women is fixed.

Step2)Ideal:

P(x >= 1) = 1 - binompdf(17, .01, 0)= 1 - 0.8179 = 0.1821

Step3) Typical:

P(x >= 1) = 1- binompdf(17, .03, 0) =1- 0.5438=0.4562