Question a. A local television station reported that 70% of the viewers enjoy watching cooking show on its channels. Find the following probabilities: i. Exactly 2 of the next 5 viewers enjoy watching cooking show. ii. At least 5 of the next 10 viewers enjoy watching cooking show. iii. Exactly half of the next 12 viewers enjoy watching cooking show. iv. Between 3 and 7 of the next 12 viewers who do not enjoy watching cooking show. v. What are the mean and the standard deviation of the 12 viewers who enjoy watching cooking show? b. An electrical shop sells an average of 3.75 washing machines per week. Compute the probability that the shop sells i. exactly four washing machines in any given week. ii. at most two washing machines in any given week. iii. between seven and eleven washing machines in any given month. iv. more than three washing machines in any given month. v. State two assumptions made.