Suppose that the populations of the three species are distributed as shown in the following table. You capture a frog, note its gender and species, and then release it. This process is repeated until you have captured and recorded 50 frogs.

Question

Suppose that the populations of the three species are distributed as shown in the following table. You capture a frog, note its gender and species, and then release it. This process is repeated until you have captured and recorded 50 frogs. 
                         Species gen.ratio
Species    %total pop. Males Females      
bullfrog        30%     60%    40%
spring peeper   50%     50%    50%
mink frog       20%     50%    50%

a) Determine the probability that there will be at least five female bullfrogs in sample.
b)Determine the probability that there will not be any mink frogs in sample. 
c) Suppose that there were 30 spring peepers in the sample. Determine whether this is unusual enough to cause you to reconsider your original estimate of their proportion of the frog population.