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estimate the size of the bear population on the keweenaw peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only tagged bears. What is the conservationists estimates of the size of the bear population.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Investigate the presence of limit cycles both analytically and numberically and investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
Show that every subfield of complex numbers contains rational numbers. Show that the prime field of real numbers is rational numbers. Show that the prime field of complex numbers is rational numbers
A general form of Parseval's Theorem says that if two functions are expanded in a Fourier Series.
Estimate all the stationary points
Calculate the exact values.
Calculate an adjusted exponentially smoothed forecast
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Probability for rolling a pair of dices, You are rolling a pair of dices, one red and one green. What is the probability of the following outcome?
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
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