Question

YSL Beauté is a brand well known for its lipsticks. It is noted that on average 12% of the lipsticks produced are rejected in a quality check. What is the probability that a batch of 10 lipsticks will contain at least 2 rejects?

Answer 1

Solution:

Given: On average 12% of the lipsticks produced are rejected in a quality check.

that is: p = probability of the lipsticks produced are rejected in a quality check = 0.12

n = sample size = 10

X = number of  lipsticks produced are rejected in a quality check follows binomial distribution with n =10 and p =0.12

Where q = 1 – p = 1 - 0.12 = 0.88

We have to find:

P( At least 2 rejects)=............?

where

Thus

_{( Round final answer to specified number of decimal places)}