Show that the normal density with parameters ? and ? has

Chapter 4, Problem 79E

(choose chapter or problem)

Get Unlimited 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.)

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.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back