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Answer:
3.78% probability that exactly five cars will arrive over a five-minute interval during rush hour
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
20 cars per 10 minutes
So for 5 minutes,
What is the probability that exactly five cars will arrive over a five-minute interval during rush hour?
This is P(X = 5).
3.78% probability that exactly five cars will arrive over a five-minute interval during rush hour
In this situation, the order matters, since being 1st pick is not the same as being 2nd or 3rd. Therefore, there are 14 choices for the first pick, 13 remaining for the second pick, and 12 for the third pick. This is equivalent to the permutation 12P3.
ways
(If order did not matter, this would use a combination.)
(If order did not matter, this would use a combination.)