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1. Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 10 minutes to resolve the problem. The distribution of this support time follows the uniform distribution. A. What are the values for a and b in minutes? B. What is the mean time to resolve the problem? What is the standard deviation of the time? C. What percent of the problems take more than 5 minutes to resolve? 2. The distribution of the number of viewers for the American Idol TV show follows a normal distribution with a mean of 29 million and a standard deviation of 5 million. What is the probability next week's show will: A. Have between 30 and 34 million viewers? B. Have at least 23 million viewers? C. Exceed 40 million viewers? 3. The mean of a normal probability distribution is 200 pounds. The standard deviation is 10 pounds. A. What is the area between 205 pounds and the mean of 200 pounds? B. What is the area between the mean and 190 pounds? C. What is the probability of selecting a value at random and discovering that it has a value of less than 190 pounds