What is the probability that a bill currently on john desk

Reference no: EM13534398

John finds a bill on his desk. He has three options: ignore it and leave it on his own desk, move the bill over to his wife Mary's desk, or pay the bill immediately. The probability that he leaves it on his own desk is 0.6. The probability that he moves it to Mary's desk is 0.3. The probability that he pays the bill immediately is 0.1.

Similarly, if Mary finds a bill on her desk she can choose to leave it on her own desk, put it on John's desk, or pay it immediately. The probability that it remains on her desk is 0.5. The probability she moves it to John's desk is 0.2. The probability she pays it immediately is 0.3.

Once a bill is paid it will not return to either of the desks. In other words, there is a 0% chance that a bill will return to John's desk or Mary's desk once it goes to the mailbox.

Assume this is a Markov Chain process. Set up the transition matrix and use it to answer the following questions. (Hint: When determining what your matrix labels should be, think of the location of the bill, not the action done to it. For example, the label "moves to the other desk" would not be a valid label.)
(a) What is the probability that a bill currently on John's desk will be paid within two days?
Correct: Your answer is correct.

(b) What is the probability that a bill currently on John's desk will be on Mary's desk 3 days later?

Reference no: EM13534398

Questions Cloud

Prediction of the osmotic potential of this cell : Consider a plant 20 cm tall growing in well watered soil. Ina dark and humid greenhouse, in the middle of the night, you measure the turgor pressure of aliving leaf cell of this plant using a probe inserted in the cell. You find that the turgor p..

Prepare a cash budget for each of first two quarters of 2012 : Prepare a cash budget for each of the first two quarters of 2012 - Lager Dental Clinic is a medium-sized dental service specializing in family dental care. The clinic is currently preparing the master budget for the first 2 quarters of 2012.

During crossing over in meiosis : During crossing over in meiosis, an incomplete exchange of geneticmaterial occurs. This would most likely produce

Significant difference during winter and autumn : Why do air temperatures only differ significantly between clearcutand old growth forest stations during spring and summer? Why isthere no significant difference during winter and autumn?

What is the probability that a bill currently on john desk : What is the probability that a bill currently on John's desk will be paid within two days?

Direction of net movement of water acrossa cell membrane : Describe how light entering the eye is regulated and focused on the retina. Describe the response of rods and come to different colors of light. What determines the direction of net movement of water acrossa cell membrane?

Decide how many lots of assorted ski wear : Lakewood Fashions must decide how many lots of assorted ski wear to order for its three stores. Information on pricing, sales, and inventory costs has led to the following payoff table, in thousands.

Find what is its orbital distance : You discover a planet orbiting a distant star that has roughly the same mass as the Sun. What is its orbital distance

Find the normal force on the block by the bowl : A block of mass m=1.8 kg slides along the inside of a hemispherical bowl of radius r=0.8 m. find the normal force on the block by the bowl

User Account

All Pages