Use @RISK to draw a triangular distribution with parameters 200, 300, and 600. Then superimpose a normal distribution on this drawing, choosing the mean and standard deviation to match those from the...

Use @RISK to draw a triangular distribution with parameters 200, 300, and 600. Then superimpose a normal distribution on this drawing, choosing the mean and standard deviation to match those from the triangular distribution. (Click on the Add Overlay button to get a choice of distributions to superimpose.)


a.  What are the 5th and 95th percentiles for these two distributions?


b.  What is the probability that a random number from the triangular distribution is less than 400? What is this probability for the normal distribution?


c.  Experiment with the sliders to answer other questions like those in part b. Would you conclude that these two distributions differ most in the extremes (right or left) or in the middle? Explain.