On average, 5 customers arrive at the drive-up window of a fast-food restaurant every 4 minutes during the lunch hour. what is the probability that the next customer will arrive within three minutes? (use an exponential distribution to determine this probability.)

0.9765

Explanation:

The cumulative distribution function for exponential distribution for random variable x is given by :-

, where is the mean of the distribution .

Given : On average, 5 customers arrive at the drive-up window of a fast-food restaurant every 4 minutes during the lunch hour.

Then

Now, the probability that the next customer will arrive within three minutes :-

Hence, the probability that the next customer will arrive within three minutes = 0.9765

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