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.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly<u> x successes on n repeated trials, with p probability</u> 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 brainly.com/question/24863377
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