Name 1 When the Astrodome was built is was considered the eighth wonder of the world. Today it sits unused and decaying. The Harris County administrators have contacted Tellegen Consulting to come up with a new use for the dome. Mrs. Tellegen turns the problem over to her class for analysis. They evaluate the suggestion that the dome be used once a year for an extreme sports show. The county tells us that the dome receives yearly maintenance and the cost of that seems to be bell-shaped with an average cost of $50 million and a standard deviation of $7 million. The year the roof collapsed was particularly bad with a repair of $110 million. What yearly amount should they budget to cover all but the most expensive 5% of repairs? If they budget $60 million what percent of the time will they fail to have enough money for repairs? 2 The county also studied attendance of similar events in other cities. They found that out of 55 cities with similar events, 25 cities had attendance of 15 million, 25 had attendance of 20 million, and the rest had attendance of 10 million. At what price should they sell the tickets if the hope to make enough money to cover maintenance (as calculated in number one)in all but the worst 5% of the years? 3 Also, in any given year there is a 27% chance that the Astroturf will have to be redone. Doing this costs $65 million. In the next 15 years what is the probability that the Astroturf will have to be replaced at least once? If another maintenance system is used the chance that the Astroturf will have to be replaced is decreased by 10%. Using the new system, what is the probability that in the next 15 years it will have to be replaced more than once