1. Suppose that the durations of high school baseball games are approximately normally distributed with mean 105 minutes and standard deviation 11 minutes. Use your calculator to find the probability that a randomly selected high school baseball game lasts[br][br]a. Less than 115 minutes.[br]b. More than 100 minutes.[br]c. Between 90 and 110 minutes.[br][br]2. In Problem 1, you were told that the durations of high school baseball games are approximately normally distributed with a mean of 105 minutes and a standard deviation of 11 minutes. Suppose also that the durations of high school softball games are approximately normally distributed with a mean of 95 minutes and the same standard deviation, 11 minutes. Is it more likely that a high school baseball game will last between 100 and 110 minutes or that a high school softball game will last between 100 and 110 minutes? [br][br]a. Answer this question without doing any calculations (you may want to sketch a normal curve for each).[br]b. Use your calculator to verify the value of each probability.