According to CDC estimates, more than 2.8 million people in the United States are sickened each year with antibiotic-resistant infections, with at least 35,000 dying as a result. Antibiotic resistance occurs when disease-causing microbes become resistant to antibiotic drug therapy. Because this resistance is typically genetic and transferred to the next generations of microbes, it is a very serious public health problem. Of the infections considered most serious by the CDC, gonorrhea has an estimated 1.14 million new cases occurring annually, and approximately 50% of those cases are resistant to any antibiotic. Assume a health clinic in California sees 6 patients with gonorrhea in a given week. (b) What is the mean of X ? Give your answer to one decimal place. meanofX: What is the standard deviation of X ? Give your answer to three decimal places. standard deviation of X : (c) Find the probability that exactly one of the cases is resistant to any antibiotic. Give your answer to four decimal places. P(X=1)= What is the probability that at least one case is resistant to any antibiotic? (Hint: It is easier to first find the probability that exactly zero of the 6 cases were resistant.) Give your answer to four decimal places. P(X1)=