Question

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=3), n=8, p=0.2

Answer 1

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

$p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}$

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

$p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}$

               $=0.14680064$