Referring to Problem 3 above, assume that Variable 6, which you created in Problem 1, is normally distributed with a population mean and population standard deviation that happens to equal to the mean and standard deviation that you computed in Problem 3 above. Consider the following experiment, where one member of the population defined in Problem 1 is selected at random. Compute each of the following probabilities, using your calculator and the appropriate methods and formula described in your text, along with the z-tables provided with this exam, which are located at the end of this exam. Show all your work, including a rough sketch of the appropriate area under the normal curve for each part below. Problem 8a Problem 8a. Probability that the value of Variable 6 observed will be more than the value which is 1.75 standard deviations above the population mean? [3 marks] Problem 8b Probability that the value of Variable 6 observed will be within 1.6 standard deviations of the population mean on either side of the mean? [3 marks]. Problem 8c. Find the two values of Variable 6 such that the middle 40% of all values falls between these two values. [4 marks]