Refer to the Evolutionary Ecology Research (July 2003) study of the patterns of extinction in the New Zealand bird population, presented in Exercise 3.95 (p. 157). Of the 132 bird species in the population, 38 are extinct. Suppose you randomly select 10 of the 132 bird species (without replacement) and record the extinction status of each. NZBIRDS
a. What is the probability that exactly 5 of the 10 species you select are extinct?
b. What is the probability that at most 1 species is extinct?