Q80 / 160 · AP EAMCET 2022 (04 Jul Shift 2) · Mathematics

In a binomial distribution the mean is $15$ and variance is $10 .$ Then parameter $n$ is

A
$28$
B
$16$
Correct answer
C
$45$
D
$25$

Solution

Given mean,

n p = 15

and variance

n p (1 - p) = 10

∴ 1 - p = \frac{10}{15} = \frac{2}{3} \Rightarrow p = \frac{1}{3}

∴ n = 15 \times 3 = 45

Hence, the correct answer is option: 'C'.

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