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The Centers for Disease Control and Prevention (CDC) estimates that

`12.3%`

of American adults suffer from chronic sinusitis (inflammation of the sinus). A random sample of 15 American are selected. Round answers to at least 4 decimal places. a) Compute the probability that exactly 2 in the sample suffer from chronic sinusitis. b) Compute the probability that there are fewer than 4 in the sample that suffer from chronic sinusitis. c) Compute the probability that there are more than 1 in the sample that suffer from chronic sinusitis. d) Compute the probability that there are at most 2 in the sample that suffer from chronic sinusitis. e) Compute the mean number of Americans that suffer from chronic sinusitis. f) Compute the standard deviation of the number of Americans that suffer from chronic sinusitis.