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Answer:
12.5664 units (rounded off to four decimal values)
Step-by-step explanation:
Arc length = 2 × π × r ×
For our partial circle;
The radius (r) = 8 units
The central angle = 90°
Arc length = 2 × π × 8 × = 12.5663706144 units
Or 12.5664 units (rounded off to four decimal values)
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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