Suppose a sunny day is followed by a sunny day with probability 0.7, and a cloudy day is followed by a sunny day with probability 0.5. a. if it is sunny today, what is the probability that it will be sunny 3 days later?

Establish a transition matrix:

The possible path are:

sunny -> cloudy -> cloudy -> sunny

-> sunny -> sunny

-> sunny -> cloudy -> sunny

-> sunny -> sunny

Find and add all the paths using the transition matrix T:

0.3*0.5*0.5 + 0.3*0.5*0.7 + 0.7*0.3*0.5 + 0.7*0.7*0.7 = 0.628

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

do have an equation or graph or

step-by-step explanation: