Service time for customers at a drive-through coffee shop has been shown to be uniformly distributed between 2 and 10 minutes. Customers will complain when service time exceeds 7.5 minutes. Based on this information, the probability of getting a complaint based on service time is 0.3125.

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The uniform distribution is defined from 2 to 10 minutes, making the total range 8 minutes (10 - 2). The range of service times that would cause complaints is from 7.5 to 10 minutes, a range of 2.5 minutes (10 - 7.5). The probability of a complaint is the range of complaint times over the total range, or 2.5 / 8 = 0.3125.

Service Time for Customers at a Drive-Through Coffee Shop Has