CAN YOU HELP ME WITH THIS Ray Cahnman is the proud owner of

CAN YOU HELP ME WITH THIS

Ray Cahnman is the proud owner of a 1955 sports car. On any given day, Ray never knows whether his car will start. Ninety Percent of the time it will start if it started the previous morning, and 70% of the time it will not start if did not start the previous morning.

Construct the matrix of transition probabilities.

What is the probability that it will start tomorrow if it started today?

What is the probability that it will start tomorrow if it did not start today?

Solution

Probability that it starts tomorrow if it started today = probability of starting today if it started yesterday = 0.9

Probability that it starts tomorrow if it didn\'t start today = probability of starting today if it didn\'t start yesterday = 0.3

Hope this helps.