I need A WELL DETAILED ANSWER for the following question Wha

I need A WELL- DETAILED ANSWER for the following question:

What are inflection points? For the Normal distribution with parameters u 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.

Solution