a. Generate a random sample of 100 simulated values from a normal distribution with a mean of 50 and a standard deviation of 12.

b. Using the random sample of 100 simulated values found in part a and the technology commands for calculating ordinate values on page 328, find the 100 corresponding y values for the normal distribution curve with a mean of 50 and a standard deviation of 12.

c. Use the 100 ordered pairs found in part b and draw the curve for the normal distribution with a mean of 50 and a standard deviation of 12. (Technology commands are included with the part b commands on pages 328–329.)

d. Using the technology commands for cumulative probability on page 329, find the probability that a randomly selected value from a normal distribution with a mean of 50 and a standard deviation of 12 will be between 55 and 65. Verify your results by using Table 3 in Appendix B.