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there are 1,000 cans of cat food produced daily at a factory. in the meeting last week, the
company stated that of the 1,000 cans produced daily there is a probability of 1/20 of being dented.
what statement is true related to the number of cans of cat food the company expects to be dented?

Respuesta :

Using the binomial distribution, it is found that the true statement related to the number of cans of cat food the company expects to be dented is given by:

B. The factory can expect to have an average of 50 cans dented in a day.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that there are 1000 cans, each with a probability of 1/20 of being dented, hence:

n = 1000, p = 1/20 = 0.05.

The expected value is then given by:

E(X) = np = 1000 x 0.05 = 50.

Researching the problem on the internet, the correct option is given by:

B. The factory can expect to have an average of 50 cans dented in a day.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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