Before 1918, approximately 60% of the wolves in the New Mexico and Arizona regio

Question

Before 1918, approximately 60% of the wolves in the New Mexico and Arizona 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. (Round your answers to three decimal places.)

Explanation / Answer

This is example of binomial distribution

a. Before 1918 p=0.60 for male and p=0.4 for female

Now for n=9, we need to find P(x>=6 for male)=0.4826

Now P(x>=6 for female)=0.0994

P(x<3 for female)=0.2318

b. No from 1918 to present p=0.70 for male and p=0.3 for female

P(x>=6 for male)=0.7297

P(X>=6 for female)=0.0253

P(x<3 for female)=0.4628

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