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I need help with a few stat problems. I have attached the problems below.
STAT 400 Homework #6 Summer 2017
A. Stepanov (due Thursday, July 27, by 3:00 p.m.) Please include your name ( with your last name underlined )
and your NetID at the top of the first page. No credit will be given without supporting work.
1. ( Capture – Recapture ) To estimate the populations size of squirrels that live on and
around the Quad, first N 1 squirrels were captured and tagged. The captured squirrels
were then released back onto the Quad. One week later, n squirrels were captured.
Assume that the population size has not changed during this week. Let X denote the
number of tagged squirrels in the second (recapture) sample. a) Construct an estimator for the population size N. 1. (continued)
Suppose N 1 = 20 and n = 15. b) Suppose x = 4. ~
Obtain N , an estimate for the population size N.
c) Suppose the actual populations size
of squirrels is N = 70. What is the
probability of getting x = 4 tagged
squirrels in the recapture step? Hint: Ask MoM.
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