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

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45