The largest cat in North America is the Jaguar. They can sometimes be seen in the...

The largest cat in North America is the Jaguar. They can sometimes be seen in the mountains of Southern Texas, Arizona, and New Mexico, (and less recently southern California). The rate of observances by humans is about 4/20 years. Assume we don't get Trump’s border wall which would isolate the US population from the rest, and presumably cut off their chance of commuting and breeding.

a. You set up a network of automated infrared cameras from the southern border to 100 miles north of the border all along the Texas, Arizona, and New Mexico border. If the rate of appearance of Jaguars this side of the Mexican border is 4/20 year what are the chances you see 5 or more separate Jaguars within 5 years? (Assume Poisson)

b. Your cameras also produce pictures of wolf sized canids, either wolves or coy-wolves in the same region (very different times). Each year your cameras catch about 30 of these animals and about 40 cougars and about 500 bear and 1000 feral hogs. Assume that these numbers are all population rates for Poisson. Given your camera network catches a non human large animal (and the above list is all of them):

i)What is the probability it is a jaguar?

ii)What is the probability it is a feral hog?

iii)Out of 10 large nonhuman animals, what is the probability that 7 or more are feral hogs (Hint N=10, P is fixed, independent trials)

iv)Out of 100 large non human animals what is the probability that between 40 and 70 are feral hogs? (Use an approximation)

Expert Solution

orchestra answered 1 year ago

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