New research continues to highlight the long-term benefits of breastfeeding and its relationship with healthy offspring development. Suppose you are hired to sample a community with low rates of birth control in order to pilot your proposed program to educate new mothers on the benefits of breastfeeding. In this community, the overall prevalence of breastfeeding is only 7%, and you are told to sample from 12 new mothers.
What is the probability that no mothers are breastfeeding in this sample?
What is the probability that less than two mothers are breastfeeding in this sample?
What is the probability that at least two mothers are breastfeeding in this sample?
What the expected number of new mothers who are breastfeeding? What is the variance of the distribution?
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