Let's see how well you understood our discussion. At this point, I want you to solve the following problems. Show your complete solution by following the step-by- step procedure. 1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg? b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg? 2. In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years? 3. The average cholesterol content of a certain canned goods is 215 milligrams, and the standard deviation is 15 milligrams. Assume that the variable is normally distributed. If a sample of 25 canned goods is selected, what is the probability that the mean of the sample will be greater than 220 milligrams? 4. The average public elementary school has 468 students with a standard deviation of 87. If a random sample of 38 public elementary schools is selected, what is the probability that the number of students enrolled is between 445 and 485