Customer pickup with exponential distribution, Basic Statistics

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Customer pickup with exponential distribution

Assignment:

Collina's Italian Cafe in Houston, Texas, advertises that carryout orders take about 25 minutes (Collina's website, February 27, 2008). Assume that the time required for a carryout order to be ready for customer pickup has an exponential distribution with a mean of 25 minutes.

What is the probability than a carryout order will be ready within 20 minutes (to 4 decimals)?
If a customer arrives 30 minutes after placing an order, what is the probability that the order will not be ready (to 4 decimals)?
A particular customer lives 15 minutes from Collina's Italian Cafe. If the customer places a telephone order at 5:20 P.M., what is the probability that the customer can drive to the cafe, pick up the order, and return home by 6:00 P.M. (to 4 decimals)?

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