Draw the transition probability graph and construct the transition probability matrix of thefollowing problems.2. A police car is on patrol in a neighborhood known for its gang activities. During a patrol,there is a 60% chance of responding in time to the location where help is needed; elseregular patrol will continue. chance for cancellation (upon receiving a call, there is a 10%in which case normal patrol is resumed) and a 30% chance that the car is alreadyresponding to a previous call. When the police car arrives at the scene, there is a 10%chance that the instigators will have fled (in which case the car returns back to patrol) anda 40% chance that apprehension is made immediately. Else, the officers will search thearea. If apprehension occurs, there is a 60% chance of transporting the suspects to thepolice station; else they are released and the car returns to patrol.

Answered: Draw the transition probability graph…

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...

See similar textbooks

Similar questions

Parts d and e
4. In operations management, you learn that intermittent systems produce a variety of products one at a time (or in batches) to customer order. These systems contrast with continuous systems, in which a large number of homogeneous products are produced. One feature of intermittent systems is that new orders arrive at irregular intervals. For example, orders for business letterhead may come into the Ben Franklin Print Shop at the rate of .5 per day. What is the probability that the time between two orders is less than one day?
A city manager is considering three strategies for a $1,000 investment. The probable returns areestimated as follows:• Strategy 1: A profit of $5, 000 with a probability of 0.20 and a loss of $1, 000 with a probability of0.80.• Strategy 2: A profit of $2, 000 with a probability of 0.40, a profit of $500 with a probability of0.30 and a loss of $1, 000 with a probability of 0.30.• Strategy 3: A certain profit of $400.(a) Which strategy has the highest expected profit?(b) If the city manager is going to pick only 1 strategy, which of the three strategies would youdefinitely advise against? Provide specific (numeric) details to support your answer.
The four brands of soap have the current market share of 0.23, 0.28, 0.25, and 0.24 for brands A, B, C, and D, respectively. Below are the transition probability matrix of the soap brands based on their annual performance and the number of customers using the brands. 0.4 2300 T 0.3 2800 0.2 2500 2400 From/To A B C D A 0.2 0 0.3 0.3 B 0.3 0.2 0.5 0.4 C 0.1 0.5 0 0.3 D 0 a) What is the market share of Brand D in the long run? Answer in 2 decimal places. c) What is the mean return time of Brand A? Answer in 2 decimal places. b) How many customers will shift preference in using Brand C soap in the long run? Number of Customers d) What is the percentage change of Brand B? Answer in percentage and in 2 decimal places.
The following equally likely outcomes have been estimated for the returns on Portfolio G and Portfolio H: Scenario Portfolio G Portfolio H 1 5.0% 9.0% 2 3.0% -7.0% 3 9.0% 15.0% 4 9.0% -4.0% Which of the two portfolios is riskier? a. Portfolio H since it has the possibility of a negative return b. Portfolio G since it has the higher expected return c. Both portfolios are equally risky since the possible returns of each are equally likely to occur d. Portfolio H since its returns are more widely dispersed around the expected…
2. This year Karen has decided to diversify her business by growing broc- coli as well as lettuce. Karen plants lettuce with a probability of or broccoli with a probability of . By the time these plants are ready to harvest the price of lettuce increases with a probability of and decreases with a probability of 3. The price of broccoli increases with a probability of , decreases with a probability of or stays the same with a probability of . (a) Draw a probability tree for this scenario. (b) Use the probability tree to determine the probability that Karen plants broccoli and that the price of broccoli increases by the time it is ready to harvest. (c) Use the probability tree to determine the probability that the price of whatever Karen plants increases by the time it is ready to harvest. (d) Calculate Pr(Price of lettuce does not change | Karen plants lettuce). (e) Calculate Pr(Price of broccoli does not changen Karen plants broccoli).
Please do question 1f and 1g handwritten
The purchase patterns for two brands of toothpaste can be expressed as aMarkov process with the following transition probabilities: Which brand appears to have the most loyal customers? Explain.
A study conducted by the Urban Energy Commission in a large metropolitan area indicates the probabilities that homeowners within the area will use certain heating fuels or solar energy during the next 10 years as the major source of heat for their homes. The following transition matrix represents the transition probabilities from one state to another. Electricity 10.2 Natural Gas Fuel Oil Solar Energy Elec. Gas Oil 0.60 0.05 0.10 0.15 0.85 0.10 0.08 Solar 0 0.10 0.02 0.75 0.08 0.15 0.08 0.05 0.84 Among homeowners within the area, 20% currently use electricity, 35% use natural gas, 40% use oil, and 5% use solar energy as the major source of heat for their homes. In the long run, percentage of homeowners within the area will be using solar energy as their major source of heating fuel? (Round your answer to one decimal place. Assume the trend continues.) X % what
Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L1, L2, L3, and L4 will be operated 40%, 30%, 20%, and 30% of the time. If a person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that she will receive a speeding ticket?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS