When crossing the Golden Gate Bridge, traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e-2x

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a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge?

b. What is the probability that a driver spends more than the average time to pay the toll?

c. What is the probability that a driver spends more than 10 minutes to pay the toll?

d. What is the probability that a driver spends between 4 and 6 minutes to pay the toll? LO5