EXERCISE 2.5 In Oblako County, any day can be either sunny or cloudy. If a day is sunny, the following day will be sunny with probability 0.60. If a day is cloudy, the fol- lowing day will be cloudy with probability 0.70. Suppose it is cloudy on Monday. {a} What is the probability that it will be sunny on Wednesday? (b) What is the probability that it will be sunny on both Tuesday and \"hdnesday? EXERCISE 2.6 An athletic footwear company is attempting to estimate the sales that will result from a television advertisement campaign of its new athletic shoe. The contribution to earnings from each pair of shoes sold is $40. Suppose that the probability that a television viewer will watch the advertisement (as opposed to turn hisfher attention elsewhere) is 0.40. Furthermore, suppose that 1% of viewers who watch the advertisement on a local television channel will buy a pair of shoes. The company can buy television advertising time in one of the time slots according to Table 2.25. (:1) Suppose that the company decides to buy one minute of advertising time. Which time slot would yield the highest expected contribution to earnings net of costs? What is the total expected contribution to earnings resulting from the advertisement? (b) Suppose the company decides to buy two one-minute advertisements in differ- ent tirrie slots. Which two different time slots should the company purchase to maximize the expected contribution to earnings? What is the total expected con- tribution to earnings resulting from these two advertisements? EXERCISE 2.7 It is a relatively rare event that a new television show becomes a long-term success. A new television show that is introduced during the regular sea- son has a 10% chance of becoming a long-term success. A new television show that is introduced as a mid-season replacement has only a 5% chance of becoming a long-term success. Approximately 60% of all new television shows are introduced during the regular season. What is the probability that a randomly selected new television show will become a long-term success