Show that the rth moment about the origin of the gamma

Last updated: 6/29/2023

Show that the rth moment about the origin of the gamma distribution is u Hint Substitute y Extract the constants out of the integral 8 S y 10 0 Simplify your answer H r I a X in the integral defining u and then use the gamma function to evaluate the integral How does p r x r I dy follow from this result OA The integral is the gamma function with argument o OB The integral is the gamma function with argument r OC The integral evaluates as p p r a r I a The integral is the gamma function with argument a r MILKUR W