A random variable is binomially distributed with n = 16 and π = 0.40.The expected value and standard deviation of the variables are
A)2.00 and 1.24
B)4.80 and 4.00
C)6.40 and 1.96
D)2.00 and 1.20

Question

Quizplus · Accepted Answer

The formula for the expected value (E) and standard deviation (SD) of a binomial distribution are:

E = nπ

SD = √(nπ(1-π))

Substituting the given values, we get:

E = 16 * 0.40 = 6.40

SD = √(16 * 0.40 * (1-0.40)) = 1.96

Therefore, option C is the correct answer.

A Random Variable Is Binomially Distributed with N = 16