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In a clinical trial of a drug used to help students stop smoking, 903 subjects w

ID: 3153258 • Letter: I

Question

In a clinical trial of a drug used to help students stop smoking, 903 subjects were treated with 1 mg doses of the drug. That group consisted of 34 subjects who experienced nausea. The probability of nausea for subjects not receiving the treatment was 0.0148.

Assuming that the drug has no effect, so that the probability of nausea was 0.0148, find the mean and standard deviation for the numbers of people in groups of 903 that can be expected to experience nausea.

The mean is ______ people.

The standard deviation is _____ people.

Explanation / Answer

The random variable X follows binomial distribution with parameters n=903 and p=0.0148

The mean is n*p=903*0.0148=13.3644

The standard deviation is:

root over np(1-p)

=3.629