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...

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 3/20 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 breeding.

Chances of seeing 5 or more separate Jaguars within 5 years is 0.0011.

a.   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 40 of these animals and about 30 cougars and about 400 bear and 800 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):

1. 
   
   
   
   1. What is the probability it is a jaguar?
   
   
   2. What is the probability it is a feral hog?
   
   
   3.  Out of 15 large non-human animals, what is the probability that seven or more are feral Hogs. (Hint N=10, P is fixed, independent trials).
   
   
   4. Out of 200 large non human animals what is the probability that between 80 and 150 are feral hogs?