# A manufacturer ships toaster s in cartons of 20 In each carton , they estimate a 5% chance that one of the toasters will need to be sent back for minor repairs. What is the probability that in a carton , there will be exactly 5 toasters that need repair?

Question
Asked Dec 2, 2019
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A manufacturer ships toaster s in cartons of 20 In each carton , they estimate a 5% chance that one of the toasters will need to be sent back for minor repairs. What is the probability that in a carton , there will be exactly 5 toasters that need repair?

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Step 1

Solution:

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable X is given as:

Step 2

The probability that in a carton, there will be exactly 5 toasters that need repair is obtained below:

From the given information, number of ships toaster s in cartons of 20 in each cart...

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