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)P(X>3), n=5, p=0.8

Answer 1

Solution:

Given:  the random variable X has a binomial distribution with the given probability of obtaining a success p = 0.8 and number of trials = n = 5.

We have to find:

P( X > 3) =.......?

Binomial probability formula :

Where q = 1 – p = 1 - 0.8 = 0.2

thus

and

thus