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Between 5:00 _{PM} and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute).The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 5:00 _{PM}.

F(t) = 1 – e-^{0.15t}

(a) Determine how many minutes are needed for the probability to reach 50%.

(b) Determine how many minutes are needed for the probability to reach 80%.

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