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

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

In a binomial distribution the mean is

15

and variance is

10 .

Then parameter

n

is

MathematicsProbabilityAP EAMCETAP EAMCET 2022 (04 Jul Shift 2)

Options:

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

Solution:

1919 Upvotes Verified Answer

The correct answer is:

45

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

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play