Before 1918, approximately 58% of the wolves in the New Mexico and Arizona region were male, and 42% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 69% of wolves in the region are male, and 31% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to four decimal places.)
(a) Before 1918, in a random sample of 13 wolves spotted in the region, what is the probability that 10 or more were male?
What is the probability that 10 or more were female?
What is the probability that fewer than 7 were female?
(b) For the period from 1918 to the present, in a random sample of 13 wolves spotted in the region, what is the probability that 10 or more were male?
What is the probability that 10 or more were female?
What is the probability that fewer than 7 were female?