Show that a gamma distribution with 1 has a relative maximum at x ( 1) What happens when 0 1 and when 1 ...

Show that a gamma distribution with > 1 has a relative maximum at x = (

Question:

Show that a gamma with α > 1 has a relative maximum at x = β(α – 1). What happens when 0 < α < 1 and when α = 1?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...