Antibiotic resistance occurs when disease-causing microbes become resistant to antibiotic drug therapy. Because this resistance is...
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Antibiotic resistance occurs when disease-causing microbes become resistant to antibiotic drug therapy. Because this resistance is typically genetic and transferred to the next generation of microbes, it is a very serious public health problem. According to the CDC, 8% of gonorrhea cases tested in 2004 were resistant to the antibiotic ciprofloxacin. A physician prescribed ciprofloxacin for the treatment of 16 cases of gonorrhea during one week in 2004. (a) What is the mean number of gonorrhea cases that are resistant to the antibiotic ciprofloxacin out of 16 cases? Use 2 decimal places. (b) What is the standard deviation of of the count of antibiotic-resistant cases? Use 4 decimal places. (c) What is the probability that 2 or more out of the 16 gonorrhea cases sampled were resistant to ciprofloxacin? Use 4 decimal places. (d) Would it be appropriate to use the normal approximation to the binomial to calculate the probability in part (c)? 1. No, the sample size is too small to meet the condition. 2. Yes, the normal approximation can be used for any normal probability. Antibiotic resistance occurs when disease-causing microbes become resistant to antibiotic drug therapy. Because this resistance is typically genetic and transferred to the next generation of microbes, it is a very serious public health problem. According to the CDC, 8% of gonorrhea cases tested in 2004 were resistant to the antibiotic ciprofloxacin. A physician prescribed ciprofloxacin for the treatment of 16 cases of gonorrhea during one week in 2004. (a) What is the mean number of gonorrhea cases that are resistant to the antibiotic ciprofloxacin out of 16 cases? Use 2 decimal places. (b) What is the standard deviation of of the count of antibiotic-resistant cases? Use 4 decimal places. (c) What is the probability that 2 or more out of the 16 gonorrhea cases sampled were resistant to ciprofloxacin? Use 4 decimal places. (d) Would it be appropriate to use the normal approximation to the binomial to calculate the probability in part (c)? 1. No, the sample size is too small to meet the condition. 2. Yes, the normal approximation can be used for any normal probability.
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a Mean n p 16 008 128 resistant cases b Standard deviation ... View the full answer
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