Problem 2: Jalapenos score on the Scoville Heat Unit (SHUD) scale at 8000 to 10000, and are normally distributed with a mean of 9000 and a standard deviation of (use the sum of your Mother's and Father's ages). a) Sketch and label a graph that shows all the information relevant to the problem. b) Find the probability that a randomly selected Jalapeno will have a SHU score above 9050. Make a second sketch of the distribution and shade in the probability. Write out any calculator commands that you used. C) Find the SHU score of a Jalapeno that scores below exactly 62.5% of the population. Make a third sketch of the distribution and shade in the probability. Write out any calculator commands that you used. d) Working to better your understanding of statistics, you have tasted 225 different jalapenos at a local eatery in Tyler, TX. and the estimated SHU score of each was documented. Find the probability that the sample mean is between 9001 and 9004. Make a fourth sketch of the distribution and shade in the probability. Write out any calculator commands that you used.