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.

<h3>What is the discrete probability distribution?</h3>

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

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