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Mathematics, 18.07.2020 18:01 Arelysoqui91

Sam and Taylor own and operate a car wash service. Sam cleans the interior of each car and Taylor cleans the exterior. The time it takes Sam to finish the interior has a mean of 20 minutes with a standard deviation of 6.4 minutes. The time it takes Taylor to finish the exterior has a mean of 18 minutes with a standard deviation of 4.8 minutes. Both of their finishing times are approximately normally distributed. Suppose we select a car at random, and define the random variable D as the difference between their finishing times. We can assume that their times are independent. Find the probability that they finish within 10 minutes of each other. (Hint: Combine the mean and Standard Deviation and then find the standard Normal Random variable)

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