Question

If the variance of a binomial distribution is 5 its mean could be

Answer 1

Answer:

Step-by-step explanation:

A binomial distribution is characterized by 2 parameters:

n - number of trials

p - probability of success in 1 trial

We already know n =5, we need to find p.

Mean of a binomial distribution is given by

mean = np

Variance is given by

variance = np(1-p)

mean + variance = 1.8

5p + 5p(1-p) = 1.8

5p^2–10p+1.8=0

This quadratic equation yields two solutions

p=0.2 or p=1.8

Since p is a probability and cannot be greater than 1, p=0.2 is the only feasible solution.

So, n=5; p=0.2 is your binomial distribution.