Question

If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the customers currently in line to check out?

Answer 1

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

What is the discrete probability distribution?

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

• P(X = 0) = 0.2;

• P(X = 1) = 0.15;

• P(X = 2) = 0.30;

• P(X = 3) = 0.20;

• P(X = 4) = 0.10;

• P(X = 5) = 0.05;

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at brainly.com/question/24855677