In any given day the air quality in a certain city is either good or bad.  Records show that when the air  quality is good on one day, then there is a 95% chance that it will be good the next day, and when the air quality is bad on one day, then there is 45% chance it will be bad the next day. a. Give the transition  matrix. b.  if the air quality is good today, what is the probability it will be good two days from now? c.  if the air quality is bad today, what is the probability it will be bad three days from now? d.  if the there is 20% chance the air quality is good today, what is the probability it will be good tomorrow

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

In any given day the air quality in a certain city is either good or bad.  Records show that when the air  quality is good on one day, then there is a 95% chance that it will be good the next day, and when the air quality is bad on one day, then there is 45% chance it will be bad the next day.

a. Give the transition  matrix.

b.  if the air quality is good today, what is the probability it will be good two days from now?

c.  if the air quality is bad today, what is the probability it will be bad three days from now?

d.  if the there is 20% chance the air quality is good today, what is the probability it will be good tomorrow?

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON