Find the sampling distributions of Y1 and Yn for random samples of size n from a population

Question:

Find the sampling distributions of Y1 and Yn for random samples of size n from a population having the beta with α = 3 and β = 2.
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...