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Two containers are filled with ping-pong balls. The red container has 100 red balls, and the blue container has 100 blue balls. In each step a container is selected; red with probability 1/2 and blue with probability 1/2. Then, a ball is selected from it - all balls in the container are equally likely to be selected - and placed in the other container. If the selected container is empty, no ball is transfered.
Once there are 100 blue balls in the red container and 100 red balls in the blue container, the game stops (and we stay in that state forever).
We decide to model the situation as a Markov chain.
What is the state space S we can use? How large is it?
What is the initial distribution?
What are the transition probabilities between states? Don't write the matrix, it is way too large; just write a general expression for pij, i,j ∈ S.
How many transient states are there?
Verify stokes theorem
1). A number of sets do not have a supremum or have infinite supremum. do the same two statements?
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
Can the performer be fired to the cushion without hitting the ceding? Will the clown land on the cushion? If not, will he land short or long of the mark? What angle should be used to have the clown land directly on the cushion?
The world's tallest ferris wheel is in osaka, japan, and stands 369 feet tall. its wheel has a diameter of 328 feet. find the circumference of the ferris wheel.
Give the critical region, test statistic value, & conclusion for the F test.
How many students does the college need to enroll in the first year to break even?
What is the total weight of two boxes us 147 pounds. The first box weighs 52 pounds. Use compatible numbers to estimate the weight of the second box.
Solving linear programming problem.
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
Find the amount of paint needed to paint a region that is the shape of a parabola...15 meters tall with a base of 10 meters if 1 liter of paint covers 10 square meters.
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