that you will lose money? 14.27 The birth control shot. The birth control shot i

Question

that you will lose money? 14.27 The birth control shot. The birth control shot is one of the most effective methods of birth control available, and it works best when you get the shot regularly, every 12 weeks. Under ideal conditions, only 1% of women taking the shot become pregnant within one year. In typical use, however, 3% become 1 pregnant.? Choose at random 20 women using the shot as their method of birth control. We count the number who become pregnant in the next year. Depo-Provera" Costracepti (a) Explain why this is a binomial setting. (b) What is the probability that at least one of the women becomes pregnant under ideal conditions? What is the probability in typical use? ontinued. You decide to play roulette

Explanation / Answer

a) Because there are two outcomes

write all condition of binomial . (do it yourself)

b)

probability that women become pregnant under ideal condition = p = 0.01

probability that women does not become pregnant under ideal condition = 1- p = 0.99

Probability that at least one of the women become pregnant under ideal condition = 1 - none of the women become pregnant

= 1 - (1 - 0.01)^20

= 0.18209

under typical condition

required answer = 1 - (1 - 0.03)^20

= 0.45620

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