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, 7% of gonorrhea cases tested in 2004 were resistant to the antibiotic ciprofloxacin. A physician prescribed ciprofloxacin for the treatment of 10 cases of gonorrhea during one week in 2004.

(c) What is that probability for exactly 2 out of 10?

Answer 1

C) n = 10

P = 0.07

It is a binomial distribution.

P(X = x) = nCx * p^x * (1 - p)^{n - x}

P(X = 2) = 10C2 * * (0.07)^2 * (0.93)^8 = 0.1234