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In: Statistics and Probability

According to the CDC, certain microbes are becoming resistant to antibiotic drug therapy and therefore pose...

According to the CDC, certain microbes are becoming resistant to antibiotic drug therapy and therefore pose a serious public health risk. The CDC lists antibiotic-resistant gonorrhea as one of most serious of these kinds of infections. 30% of all gonorrhea infections are antibiotic-resistant. Suppose that 15 individuals are receiving treatment for gonorrhea at a particular clinic. Use what you know about the binomial distribution to answer the following questions.

a. What is the probability that exactly 5 of the 15 individuals have antibiotic-resistant gonorrhea?

b. What is the probability that 5 or fewer of these individuals have antibiotic-resistant gonorrhea?

c. What is the probability that more than 7 of these individuals have antibiotic-resistant gonorrhea?

d. What is the expected number of individuals that have antibiotic-resistant gonorrhea?

e. What is the standard deviation of the number of individuals that have antibiotic-resistant gonorrhea?

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