Question

Provide an appropriate response. Find the variance of the binomial distribution for which n = 800 and p = 0. 87 a. 0.90 b. 0.48 c. 696 d. 32.54 e. 9.51

Answer 1

To find the variance of a binomial distribution with n = 800 and p = 0.87, use the formula Variance = n × p × (1-p). The variance in this case is approximately 90.64.

Step-by-step explanation:

To find the variance of a binomial distribution, we use the formula:

Variance = n × p × (1-p)

Where n is the number of trials and p is the probability of success.

So, in this case, with n = 800 and p = 0.87, we can calculate the variance as:

Variance = 800 × 0.87 × (1-0.87)

Variance = 800 × 0.87 × 0.13

Variance = 90.64

Therefore, the variance of the binomial distribution is approximately 90.64.

Answer 2

e. 9.51

Step-by-step explanation:

The variance of n binomial probability trials, with p probability, is given by the following formula:

`Var(X) = √(n*p*(1-p))`

In this problem, we have that:

`n = 800, p = 0.87`

So:

`Var(X) = √(n*p*(1-p)) = √(800*0.87*0.13) = 9.51`

The correct answer is:

e. 9.51