Question

In a given binomial distribution, there are 625 trials, & the probability of success is p=0.29. What is the variance?

A. 128.7
B. 443.8
C. 181.3
D. 11.3

Answer 1

ANSWER

A. 128.7


Step-by-step explanation


The variance of a binomial distribution is calculated using the formula,


`\sigma ^(2) = n * p * q`

where


`n = 625`
is the number of trials and

`p = 0.29`
is the probability of a success and


`q = 1 - 0.29 = 0.71`


is the probability of failure.


We just have to substitute the given values into the formula to obtain,




`\sigma ^(2) = 625 * 0.29 * 0.71`



`\sigma ^(2) =128.7`

to the nearest tenth.


The correct answer is A.