Q9. A manufacturer of seats for automobiles gets its textiles from three different suppliers, AcmeTextiles, Best Textiles, and Choice Textiles. Acme Textiles provides 25% of the total supply, Best Textilesprovides 10% of the total supply, and Choice Textiles provides 65% of the total supply. In addition, 15%,20% and 3% of the textile rolls from the suppliers, respectively, contain defects. What is the probabilitythat a defective textile roll came from Acme Textiles?

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Answered: Q9. A manufacturer of seats for…

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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20. *A large pool of adults earning their first driver's license includes 50% low-risk drivers, 30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no prior driving record, an insurance com- pany considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first driver's license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers? (0.0488)
3. Light bulbs are made by three independent factories. The 1st plant delivered N1 = 30% of bulbs, the 2nd - N2 = 55% of bulbs, the 3rd - N3 = 15% of bulbs. The probability of manufacturing defect product at the first plant is P1 = 0.01, at the second - P2 = 0.015, at the third - P3 = 0.02. The store receives bulbs from all three factories. A random bulb is picked up for control and turns out to be defective. What is probability that it was produced by 2nd factory?
4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species. a. If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species? b. What is the lowest number of IceCream-type small monsters that a collector must capture to make capturing at least two of the same species more likely than not?
11. A Food store has three employees who package and weigh produce. Employee A records the correct weight 98 % of the time. Employees B and C record the correct weight 97 % and 95 % of the time, respectively. Employees A, B, and C handle 50 % , 30 % , and 20 % of the packaging, respectively. A customer complains about the incorrect weight recorded on a package she had purchased. What is the probability that the package was weighed by employee B? 12. A bag contains two nickels and three dimes. We select two coins at random, without replacement. Let's define a random variable X as the monetary value of the selected coins in the sample; e.g., if the sample consists of a nickel and dime, X = 15 œnts. (a) Find the pmf. (b) Find µ,. (c) Find o,. 13. A box contains 10,000 articles of which 150 are defective. A random sample of 100 articles is selected. Let X denote the number of defective articles in the sample. (a) Find the probability that 20 articles from the sample selected are defective…
1. Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier? 2. Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins ifa. A answers the first question, b. B answers the first question. 3. Patients are recruited onto the two arms (0 - Control,1-Treatment) of a clinical trial. The probability that an adverse outcome occurs on the…
1. The electric company owns 40 generators which power the local area. Each of these generators has a 10% chance of needing maintenance on any particular day. b) What is the expected number of generator needing maintenance on any one day? 4 40 10 400
. Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights,airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time ratesare 80%, 65%, and 40%, respectively. Part 1) Draw the Probability tree diagram. (Note: You may use any software for this, likeMS paint, MS office, etc.) Part 2) A plane has just left on time. What is the probability that it was airline ‘Amira’?
suppose that a finished product is randomly selected. What is the probability that 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective. Now, In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and and 2% of the products made by each machine, respectively, it is defective?
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
4. An agency employs three consulting firms, A, B and C, with probabilities 0.25, 0.3 and 0.45, re- spectively. It is known that the probability of cost overruns for the firms are 0.07, 0.05 and 0.03, respectively. What is the probablity that a cost overrun experienced by the agency involved firm B? Write your final answer in 2 decimal places.

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