Antibiotic resistance occurs when disease-causing microbes become resistant to a

Question

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, 5% of gonorrhea cases tested in 2004 were resistant to the antibiotic ciprofloxacin. A physician prescribed ciprofloxacin for the treatment of 14 cases of gonorrhea during one week in 2004.

(c) What is that probability for exactly 2 out of 14?
     (Use 3 decimal places.)

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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, 7% of gonorrhea cases tested in 2004 were resistant to the antibiotic ciprofloxacin. A physician prescribed ciprofloxacin for the treatment of 13 cases of gonorrhea during one week in 2004.

What is that probability for exactly 2 out of 13?

P(X=2) = 2C13*(0.07^2)*(0.93^(13-2)) =0.1720296

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