5. Discrete distributions (a) Looking at the graph, what is the 0.6 probability to observe AT MOST three 0.512 successes? 0.364 03 0.2 Based on your answer, what do you think is 0.096 the number of trials in this distribution? 0.1 0.008 (b) Every day (24 hours), a FedEx driver delivers a number of parcels. On average, a parcel takes him 6 hours. The Poisson distribution below finds the probability of delivering x parcels per day. P(x|4) = x! Find the distribution's mean and write down its units. Show work. (c) Find the probability of having exactly four parcels delivered on a given day. (d) You are looking for the probability to draw 3 aces in 5 attempts from a deck of cards. There are 52 cards in the deck and 4 of them are aces. Explain why the poisson is not a good choice for describing this data-generating process. Which distribution would you use instead? (no calculations or formulas necessary)