5) (6+4) Surya has his child in daycare twice a week. Being a forgetful person, he is often late by a few minutes to pick him up. The daycare has a strict policy that parents need to be on time. They enforce it by charging a dollar fine ($1) per minute of tardiness. Suppose each day, the amount of time in minutes that Surya is late follows an Exponential distribution with 1 = = a) The child will be in daycare for 100 days a year. Estimate the probability that Surya pays more than $630 in late fees. b) The late fees were not effective in getting Surya to arrive on time. The daycare changes the fine policy to t2 + t dollars for t minutes of tardiness. On average, how much fine does Surya expect to pay every day