Answer: 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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Learn more about computers Here brainly.com/question/24540334
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