Question

Which of the following statements regarding a binomial experiment is false, where n is the number of trials, and p is the probability of success in each trial?

A. The standard deviation is np(1 - p).
B. The mean is np.
C. The n trials are independent.
D. There are only two possible outcomes.

Answer 1

A. The standard deviation is np(1 - p).

Explanation:

The variance of the number of successes/failures is measured by (σ2x) is n * P * ( 1 - P ).

The standard deviation (σx) is square root of [ n * P * ( 1 - P ) ]

The mean is np.