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)?
Provide complete and step by step solution for the question and show calculations and use formulas.