In: Statistics and Probability
Before 1918, approximately 60% of the wolves in a region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 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 a random sample of 9 wolves spotted in the
region, what is the probability that 6 or more were male?
What is the probability that 6 or more were female?
What is the probability that fewer than 3 were female?
(b) For the period from 1918 to the present, in a random sample of
9 wolves spotted in the region, what is the probability that 6 or
more were male?
What is the probability that 6 or more were female?
What is the probability that fewer than 3 were female?