There are three groceries shops operat in a rural area: Maharaja, AhmedEmporium, and Quick Stop Groceries.Assume that the transition probabilities are as follows:ToFromMaharajaQuick StopAhmed'sMaharaja Store0.810.07Ahmed's Emporium0.10.84Quick Stop Groceries0.090.05Calculate =Maharaja's steady-state probabilityUse 4 digits after decimal point - for example ( answer should be similar to 0.1234)

Given the transition probabilities as From To Maharaja Ahmed's Quick Stop Maharaja Store 0.81…

Answered: There are three groceries shops operat…

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...

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A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.
#26). Please show how to solve
A sample of students without a Scholarship in the school of Business at the University of Delhi is classified according to majors and gender. The data in the table below apply: Determine the probability of the following events: a) Biochemist major.b) Medicine major. c) Male d) Female in Geology Gender MAJORS Medicine Biochemistry Engineering Geology Male 60 80 70 100 Female 30 50 10 20
Examine the table above . The insurance company does not know the probabilities of falling sick for each individual. ( a ) If the company charged everybody a premium of Tk.2,000 , who would stay and who would leave the insurance market ? Say why. (All the questions are the same part of one single question. Please answer them all.) ( b ) If the company charged everybody a premium equal to the average of the actuarially fair premiums for all , who would stay and who would leave ? Say why.
ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 sales
Answers must be in 4 decimals 1. Bulsu plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on his way to work, what is the probability that he passed through the radar trap located at L2? 2. A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?
A investor estimates that, in a year’s time, a certain stock has a 30% chance to be worth $125 per share, a 45% chance to be worth $90 per share, and a 25% chance to be worth$60 per share. Determine the expectation of the price per share of the stock in a year’s time.
Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$ Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…
Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage follows the exponential probability distribution. What is the probability that a randomly selected tire will have a tread-life between 30,000 and 50,000 miles?
A trader invented a strategy where he can either win or lose a certain amount of money every day (say, k dollars) with equal probability, independently of all other days. (In fact, such a strategy is not very difficult to implement - buy a very liquid asset whose price moves without major jumps and liquidate the position as soon as you are making or losing k dollars). He then made the following statement: “If I use my strategy every day for the next 400 days, my chances of staying within 10,000 dollars of the original account balance are equal to 1/3.(a) What is k (approximately)?(b) What are his chances (approximately) of making over 20,000 with this strategy in 400 days?
Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his 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 he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.
At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are Good Fair Critical Good 0.65 0.20 0.05 Fair 0.50 0.30 0.12 Critical 0.51 0.25 0.20 Improved Unimproved Dead Good 0.06 0.03 0.01 Fair 0.03 0.02 0.03 Critical 0.01 0.01 0.02 For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…

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