Assume that the following procedure yields a binomial distri

Assume that the following procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values to find the mean, variance, and standard deviation. In a clinical trial of the cholesterol drug Lipitor, 94 subjects were treated with 80 mg of Lipitor, and 6.4% of them developed headaches.

Solution

n=94

p=0.064

From the formula for a binomial distribution, we know that:

Mean =

np = 94*0.064 = 6.016

Variance =

np(1-p) = 94*0.064*(1-0.064) = 5.631

Standard deviation =

Square root of variance = 2.373