The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay for the gasoline are quite variable. In fact, the transaction times are exponentially distributed with a mean of 6.5 minutes.
(Round all decimals to at least 3 places.)
(a) What is the probability that a car can complete the transaction in less than 4 minutes?
(b) The manager notices that a certain car at the gas station has already taken 4.75 minutes and has still not completed the transaction. What is the probability that the car will take another 4.75 minutes to complete the transaction?
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