Question

The mean and variance of binomial distribution are 15 and 2 respectively find the value of n and p

Answer 1

p = 13/15 and n= 225/13

Answer 2

Given that  binomial distribution mean=15, variance=2, find n& p?

Explanation:

• binomial distribution mean, np=15 and variance, npq=2
• np(1-p) =2
• ⇒15(1-p) =2
• ⇒(1-p) =2/15
• ∴p = 13/15
• ⇒n ×(13/15) =15
• ∴n =225/13
• Value of n and p are 225/13 and 15.