The following is based upon information taken from Wolf in the Southwest: The Making of an Endangered Species, edited through David Brown (university of the Arizona Press). Before 1918, approximately 55% of the wolves in the New Mexico as well as Arizona region were male, and 45% were female. But, cattle ranchers in this area have made determined effort to exterminate wolves. From 1918 to the present, about 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced.
(a) Before 1918, in the random sample of 12 wolves spotted in the region, determine the probability that 6 or more were male?
Determine the probability that 6 or more were female? Compute the probability that fewer than 4 were female?
(b) Answer part (a) for the period from the 1918 to the present.