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

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. one day's discharge at its mouth, 5.6 trillion gallons, could supply all of country a's households for seven months. based on this statement, determine how much water an average household uses each month. assume that there are 100 million households in country a. country a uses approximately nothing gallons per household per month.

At which value in the domain does f(x) =0?

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base