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.
