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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?
Make a scatterplot of life expectancy (the response variable) versus internet use. Describe the relationship. Is there an overall pattern? Do you see any deviation from that pattern?
Determine the greatest number which they are divided into 526 and 1307 and got Remainders are 6 and 7.
Flip a penny 100 times, with 49 tosses landing heads up. What percentage of the pennies landed heads up and tails up? The percentage of the pennies that landed heads up is? The percentage of the pennies that landed tails up is?
Broom forgot to record a 30 dollar withdrawal at the ATM. The bank statement also collected a 400 dollar noe for broom. Prepare a bank reconciliation?
Compute the mean and median
Find which of the infinite series converge and which diverge. Be sure to state which test you are applying - Use integration by parts to express
Develop a 2D plot for average cost versus the quantity.
Solve by absolute value equation and Solve by factoring and use the zero product principle.
Suppose that it is a presidential election year and Ohio is one of the "swing" states. Your polling company wants to conduct a presidential preference poll of the citizens of Ohio to predict which candidate will win the election.
Youth commitment and youth voice: Young people have significant roles in the family, school, and the community, where their assistances make a difference. These aids can include service, asking with adults in the organization, and collective leade..
What is a c-corporation? What are the two advantages and disadvantages of a c-corporation? What is the control and profit retention of this sort of company?
A manufacturer determines that the fixed costs associated with a product are $780 per week. Variable cost per unit is $2.40
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