A gasoline wholesale distributor has bulk storage tanks that hold supplies and are filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found that this proportion could be well modeled by a standard beta distribution with alpha = 3 and beta = 2. Find the probability at least 88% of the supply is sold in a week. Find the probability less than 60% of the supply is sold in a week. Half of the weeks are below what proportion of the supply sold?