A new drug developed to fight depression has a .20 probability of causing dizziness.A person takes the drug 100 times.
What is the mean and standard deviation of the binomial distribution of this data?
A)mean = 20,standard deviation = 4
B)mean = 20,standard deviation = 16
C)mean = 80,standard deviation = 4
D)mean = 80,standard deviation = 16

Question

Quizplus · Accepted Answer

The mean of a binomial distribution is n*p, where n is the number of trials and p is the probability of success. In this case, n = 100 and p = 0.20, so the mean is 100*0.20 = 20. The standard deviation of a binomial distribution is sqrt(n*p*(1-p)). In this case, the standard deviation is sqrt(100*0.20*(1-0.20)) = 4.

A New Drug Developed to Fight Depression Has a