Question
Prior to placing an order, the amount of time (in minutes) that a driver waits in line at a Starbucks drive-thru follows an exponential distribution
Prior to placing an order, the amount of time (in minutes) that a driver waits in line at a Starbucks drive-thru follows an exponential distribution with a probability density function of f(x) = 0.25e0.25x. a. What is the mean waiting time that a driver faces prior to placing an order? b. What is the probability that a driver spends more than the average time before placing an order? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. What is the probability that a driver spends more than 16 minutes before placing an order? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) d. What is the probability that a driver spends between 5 and 8 minutes before placing an order? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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