The general probability density function has the form where and are constants, with > 0. a. Show that f (x) has an

The general probability density function has the form

where μ and σ are constants, with σ > 0.

a. Show that f (x) has an absolute maximum at x =μ and inflection points at x  = μ + σ and x =μ − σ.

b. Show that f(μ + c) = f(μ − c) for every number

c. What does this tell you about the graph of f(x)?

f(x) = 1 2 -(x-)/20