SOLUTION: Really Big Medical Center (RBMC) is testing patients who have spent time in grassy areas this summer and fall for Lyme disease. Suppose that the probability of someone with exposur

Question 1197456: Really Big Medical Center (RBMC) is testing patients who have spent time in grassy areas this summer and fall for Lyme disease. Suppose that the probability of someone with exposure to tall grass having Lyme is .3 (or 30 percent). In a sample of 15 patients, what is the standard deviation of the number of patients with Lyme disease? Round your answer to 1 decimal place.
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

You are given a Binomial distribution with n= 15 trials and p= 0.3 of the
success probability for each of 15 independent trials.

To find the standard deviation of a binomial distribution

        Compute the variance as n × p × (1-p) , where n is the number of trials
        and p is the probability of success.
        Take the square root of the number obtained in Step 1.

Thus for the given problem the standard deviation is

             = = 1.8     (rounded).         ANSWER

Solved.

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