Suppose that X has the gamma distribution with parameters and , and c is a positive constant Show that cX has the gamma distribution with parameters and c ...

Suppose that X has the gamma distribution with parameters and , and c is a positive

Question:

Suppose that X has the gamma with parameters α and β, and c is a positive constant. Show that cX has the gamma with parameters α and β/c.
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...