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Let {Xn}n∈N0 be a Markov chain with the transition matrix
Find all stationary distributions.
The chain starts from the state i = 1. What is the expected number of steps before it returns to 1?
How many times, on average, does the chain visit 2 between two consecutive visits to 1?
Each time the chain visits the state 1, $1 is added to an account, $2 for the state 2, and nothing in the state 3.
Estimate the amount of money on the account after 10000 transitions?
You may assume that the law of large numbers for the Markov chains provides an adequate approximation
How much would you have in a bank account at the end of 9 years if $9,390 is invested at 3% compounded quarterly?
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places..
Is f an increasing or decreasing function of A? Is f an increasing or decreasing function of r? Is f an increasing or decreasing function of t?
Mona found a wallet on the floor of an elevator in the office building where she worked. She posted several notices in the building about finding the wallet, but no one appeared to claim it.
Maximize z = 3x - 5y Subject to: 4x + y ≤ 12
How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
The Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence.
State the slope and y-intercept of the graph
bill invests 7100 in a savings account that compounds interest continuously at an apr of 4.7. ted invests 7300 in a
a chemist needs 130 milliliters of 57% solution but only has 33% and 85% solutions available. How many milliliters of each should be mixed together to get the desired solution?
summation and proof using mathematical induction.suppose that xn is a sequence of positive real numbers for which the
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
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