Homework SourseGiven a binomial variable with a mean of 20 and a variance o
Given a binomial variable with a mean of 20 and a variance of 16, find n and p.
Solution
As
mean = n p = 20 [1]
variance = n p (1 - p) = 16 [2]
Dividing the [2] by [1],
1 - p = 0.8
Thus,
p = 0.2
Also,
n p = 20 --> n = 20/p = 20/0.2 = 100
Thus,
n = 100, p = 0.2 [ANSWER]
![Given a binomial variable with a mean of 20 and a variance of 16, find n and p.SolutionAs mean = n p = 20 [1] variance = n p (1 - p) = 16 [2] Dividing the [2] b](/WebImages/6/given-a-binomial-variable-with-a-mean-of-20-and-a-variance-o-988025-1761507767-0.webp "Given a binomial variable with a mean of 20 and a variance of 16, find n and p.SolutionAs mean = n p = 20 [1] variance = n p (1 - p) = 16 [2] Dividing the [2] b")
