In: Statistics and Probability
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?
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)