Show that the family of beta distributions is a conjugate family of prior distributions for samples from a negative binomial distribution with a known value of the parameter r and an unknown value of the parameter p (0 p 1) ...

Consider a single observation X from a negative binomial distribution wi ...

Show that the family of beta distributions is a conjugate family of prior distributions for samples from

Question:

Show that the family of beta distributions is a conjugate family of prior distributions for samples from a negative binomial with a known value of the parameter r and an unknown value of the parameter p (0 < p < 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...