The amount of time a driver needs to react to a changing stoplight varies from driver to driver. The density function below roughly describes the probability distribution of this time, where x is given in seconds. f(x)= 0.8 e-0.8, if x > 0. a) Find the average reaction time. seconds. b) Consider Y = 5X +8 to be a modified reaction time. Find the expected value of Y. seconds.

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