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Researchers are interested in the popularity of the new HPV vaccine among a population of university aged women. National data released last year indicates that the vaccine is increasing in popularity, and 24% of young women and girls aged 11-25 have now been estimated to have received at least one of the three shots associated with the vaccine. Suppose researchers randomly sample 7 girls in the population, and 3 report having at least one of the injections.
A) Can we carry out our calculation for the probability of seeing such an occurrence with an approximation of normality?
B) Calculate the probability of observing such a result.
C) If we were to repeat the sample, how many women in this age range would we expect to be vaccinated?
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