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 65% of wolves in the region are male, and 35% 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 three decimal places.)
(a) Before 1918, in a random sample of 11 wolves spotted in the
region, what is the probability that 8 or more were male?
What is the probability that 8 or more were female?
What is the probability that fewer than 5 were female?
(b) For the period from 1918 to the present, in a random sample of
11 wolves spotted in the region, what is the probability that 8 or
more were male?
What is the probability that 8 or more were female?
What is the probability that fewer than 5 were female?
Ask Your Teacher
Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
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