g A small ski resort is thinking about investing in a new chairlift. In order to determine whether or not this is financially worthwhile, they analyze the number of skiers and snowboarders who come out to the mountain and purchase tickets. They query their database and determine that over the previous 15 days, they averaged 814 tickets sold with a standard deviation of 312. The distribution of tickets sales is approximately normal. 1. The owner believes that they need to ultimately reach an average of 900 tickets sold to justify the cost of installing a new Chairlift. On what percentage of days can they expect to do so? 2. Conversely, if they sell an average of 700-900 tickets they will break even. On what percentage of days can they expect to so? What percentage of days will they run a loss? What percentage of days will they turn a profit? 3. Thought Question: The standard deviation for this distribution is fairly high, Can you think why this may be? Is there something the operators of the resort might do in order to come up with numbers that would allow for improved predictions? Hint: Over what period of time did the operators obtain their data