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The number of DVDs that will be checked out for every 100 patrons will be 20.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The probability that out of n trials, there'd be x successes is given by
The expected value of X will be:
The information is given in the table.
The probability of getting DVDs will be
The value of n is 100.
Then the number of DVDs that will be checked out for every 100 patrons will be
Learn more about binomial distribution here:
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