The SaveBucks Battery Company wants to wait until 60% of the batteries are sold at the corner

Question:

The SaveBucks Battery Company wants to wait until 60% of the batteries are sold at the corner convenience store before they ship more. After years of study, they have determined that the proportion of batteries which are sold after 6 weeks follows a Beta with a = 2 and (3 = 3.
a. What is the probability that more than 60% of the batteries will be sold at the end of the 6-week period?
b. What is the expected proportion of batteries which will be sold at the end of the 6-week period?
c. What is the standard deviation in the proportion of batteries which will be sold at the end of the 6-week period?
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...