Question

In a bionomial distribution, mean is 18 and variance is 12 then p = _______.

Options

• `2/3`

• `1/3`

• `3/4`

• `1/2`

Answer 1

In a bionomial distribution, mean is 18 and variance is 12 then p = `underline(1/3)`.

Explanation:

We know that, mean = np = 18

and variance= n p q = 12

Now, `"npq"/"np" = 12/18 => "q" = 2/3`

`therefore "p" = 1 - "q" = 1 - 2/3 = 1/3`