Question

Assume that a procedure yields a binomial distribution with with n=8 trials and a probability of success of p=0.90. Use a binomial probability table to find the probability that the number of successes x is exactly 4.

1. P(4)= ?

Answer 1

Solution:

According to binomial probability distribution, the probability of occurrence of exactly x success in n trials is given by,

Where, p is probability of success.

We have to obtain P(X = 4).

We have, n = 8, p = 0.90

Using binomial probability law we get,

Hence, P(4) = 0.0046.

Also using binomial probability table we get the same result, i.e. P(4) = 0.0046.