Question

A student answered that the mean of a binomial distribution is 18 and variance is equal to 12. Check whether the answer of the student is correct or not.

Answer 1

Answer:

n = 54

Step-by-step explanation:

Given A student answered that the mean of a binomial distribution is 18 and variance is equal to 12. Check whether the answer of the student is correct or not.

Now given that mean = 18, variance = 12

We know that Mean = n p and variance = n p q

So n p = 18 and n p q = 12

So we get 18 x q = 12

   Q = 12 / 18

   Q = 2 / 3

Now n p q = 12

      n x p x 2/3 = 12

    n p = 18

We know that p = 1 - q

    P = 1 – 2/ 3 = 1 / 3

   So n x 1/3 = 18

  n = 54

hence the answer of the student is correct.

Answer 2

Step-by-step explanation:

this is final answer of this question