P=(1 0 0; 1/4 1/2 1/4; 0 0 1) is a one-step transition matrix(3*3). state-space : (1，2，3)
a) if there is a limiting distribution then determine it?
b) determine all the stationary distributions of the chain'
c) determine the distribution of the number of steps the chain makes until there is either 0 or 2

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Clarence wants to buy a new car. he finds an ad for a car that costs 27,200 dollars. suppose his local sales tax is 7%. -how much would he have to pay? -what is the cost of the car including tax? -if clarence has 29,864 saved, can he pay cash to buy the car?

The customer price index(cpi), which measures the cost of a typical package of customer goods,was 208.8 in 2011 and 244.1 in 2016.let x=11 corresponding to the year 2011 an estimate to cpi into 2013 and 2014. assume that the data can be modeled by a straight line and the trend to continue idenfinitely.use data points to find such a line and then estimate the requested quantities