5. The arrival of the bus at the bus station follows an exponential distribution with an arrival rate of 1 arrival per 5 mins. Alice arrives in the bus station and see Bob. Bob says he has waited for 10 minutes. What is the probability that Alice can take the bus in the next 2 minutes? [10] 6. We have the following mixed random variable with the following probability density function: fx(x) = 0.18 (x + 2) + 0.48(x + 3) + 0.1e-0.2x What is the expected value of X? [10]