Based on visual inspection of the plots you obtain in parts (b) and (c), what can you say about approximate normality of the daily portfolio returns ? Where do you see deviations from normality in the data ? [(1) Assuming approximate normality of portfolio returns, what is the probability that portfolio will give a positive return on a given day ? What is the probability of losing more than 1.5% on a given day? [2} The owner of an auto dealership believes that the number of cars they sell every week can be described by a Poisson probability model. The owner believes that in a \"good\" week the average number of cars they sell is 10 and in a \"bad\" week the average number of cars they sell is 5. (a) What is the probability that exactly 6 cars will be sold in a good week? that is the probability that exactly 6 cars will be sold in a bad week? (b) The owner believes that 70 9'6 of the weeks are good weeks (and 30 9'6 are bad weeks}. Given this information, what is the probability that exactly 6 cars will be sold in any week? (c) Given that the dealership sold 6 cars last week, what is the prob ability that they had a good week ? [(1) Given that the dealership sold less than 6 cars last week, what is the probability that they had a bad week