If the annual proportions of new restaurants that fail in a given city may be looked upon as a random variable having a beta distribution with α = 1 and ß = 4, find (a) the mean of this distribution,...

If the annual proportions of new restaurants that fail in a given city may be looked upon as a random variable having a beta distribution with α = 1 and ß = 4, find

(a) the mean of this distribution, that is, the annual proportion of new restaurants that can be expected to fail in the given city;

(b) the probability that at least 25 percent of all new restaurants will fail in the given city in any one year.