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) .

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic