1 What are inflection points For the Normal distribution wit

1. What are inflection points? For the Normal distribution with parameters mean and variance, a) find the inflection points mathematically. Verify your findings graphically for any Normal distribution. (That is choose a value of mean and variance and mark the inflection points on the graph of the normal distribution) b) Give a brief description of what are inflection points. c) Mathematically derive (using calculus) the inflection points for a Normal distribution. d) Choose any value of mean and variance and draw a normal curve corresponding to it. Then mark the inflection points on the graph and show that they match to the points you derived mathematically. * You can use any software of your choice to demonstrate this. * Your answer should include the inflection point description, the mathematical derivation along with a well labeled and self-explanatory graph.

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