Before 1918, approximately 59% of the wolves in the New Mexico and Arizona regio
ID: 2957356 • Letter: B
Question
Before 1918, approximately 59% of the wolves in the New Mexico and Arizona region were male, and 41% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 74% of wolves in the region are male, and 26% 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 12 wolves spotted in the region, what is the probability that 9 or more were male?
What is the probability that 9 or more were female?
What is the probability that fewer than 6 were female?
(b) For the period from 1918 to the present, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male?
What is the probability that 9 or more were female?
What is the probability that fewer than 6 were female?
Explanation / Answer
(a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? 1 – binomcdf(9,.6,5) = 1 - .5174 = .4826 What is the probability that 6 or more were female? 1 – binomcdf(9,.4,5) = 1 - .9006 = .0994 What is the probability that fewer than 3 were female? Binomcdf(9,.4,2) = ..2318 (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? 1-binomcdf(9,.7,5) = 1 - .2703 = .7297 What is the probability that 6 or more were female? 1 – biomcdf(9,.3,5) = 1 - .9747 = .0253 What is the probability that fewer than 3 were female? Binomcdf(9,.3,2) = .4628
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