The proportion of people who pass a professional qualifying exam on the first try has a Beta

Question:

The proportion of people who pass a professional qualifying exam on the first try has a Beta with α = 3 and β = 4.
a. What is the expected proportion of people who will pass on the first try at the next exam?
b. What is the standard deviation in the proportion of people who will pass on the first try at the next exam?
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...