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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

Respuesta :

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ANSWER

A. 128.7


EXPLANATION


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

[tex] \sigma ^{2} = n \times p \times q[/tex]

where

[tex]n = 625[/tex]
is the number of trials and
[tex]p = 0.29[/tex]
is the probability of a success and

[tex]q = 1 - 0.29 = 0.71[/tex]


is the probability of failure.


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



[tex] \sigma ^{2} = 625 \times 0.29 \times 0.71[/tex]


[tex] \sigma ^{2} =128.7[/tex]

to the nearest tenth.


The correct answer is A.

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