Question: Due to the all of the chunks in it, the calorie content of one cup (8 ounces) of Ben & Jerry's "everything but the" ice cream (chocolate, vanilla, white chocolate chunks, chocolate covered almonds, peanut butter cups, and Heath Bar chunks) varies from one cup to the next. Suppose that the calorie content is normally distributed with a mean of 600 calories (no joke, that's not made up) and a standard deviation of 14 calories,

a) Sketch a normal distribution. Mark the locations of the mean and the values that are one, two, and three standard deviations to either side of the mean. Determine and label the graph with the calorie levels at these locations.

b) Redraw the graph and sketch the region corresponding to a caloric content of less than 607 calories. Use your calculator to determine the probability that the calorie content is less than 607.

c) Repeat the process in part b, except that the region should correspond to a calorie content between 571 and 610 calories.

d) Determine the calorie level that distinguishes the lowest 13% of the calorie distribution.

e) Show how you could use your answer in part e to determine what the calorie level would be for the highest 13% of the calorie distribution. While you can use the appropriate calculator function to check your answer, you must show how to do this without the use of the calculator function.