Solution Found!
Show that the normal density with parameters ? and ? has
Chapter 4, Problem 79E(choose chapter or problem)
Problem 79E
Show that the normal density with parameters μ and σ has inflection points at the values μ – σand μ + σ. (Recall that an inflection point is a point where the curve changes direction from concave up to concave down, or vice versa, and occurs when the second derivative changes sign. Such a change in sign may occur when the second derivative equals zero.)
Questions & Answers
QUESTION:
Problem 79E
Show that the normal density with parameters μ and σ has inflection points at the values μ – σand μ + σ. (Recall that an inflection point is a point where the curve changes direction from concave up to concave down, or vice versa, and occurs when the second derivative changes sign. Such a change in sign may occur when the second derivative equals zero.)
ANSWER:Step 1: Goal
Prove that the normal probability density function has inflection points at y = μ ± σ.