The variance var(x) for the binomial distribution is given by equation :
a. np(n - 1).
b. np(1 - np).
c. n(1 - p).
d. np(1 - p).

d. np(1 - p).

Step-by-step explanation:

Let x be any binomial variable which represents the number of success such that , where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :

where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Therefore , the correct option is option d. np(1 - p) .

∠cbe and ∠deb are same-side interior angles.

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