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3.26. Manufacturing Bayes. A factory has three types of machines producing an item. The probabilities that...
Two machines turn out all the products in a factory, with the first machine producing 45%...
Two machines turn out all the products in a factory, with the first machine producing 45% of the product and the second 55%. The first machine produces defective products 3% of the time and the second machine 8% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory?
(b) At a factory where bolts are produced, machines A, B, C produce respectively 25%, 35%...
(b) At a factory where bolts are produced, machines A, B, C produce respectively 25%, 35% and 40% of all bolts. Of the output of these machines, defects constitute 5%, 4% and 2% respectively. A bolt selected at random from the production turned out to be defective. What machine was the most likely to have produced this defective bolt? (give the probability it was this machine.) [5]
Assume that a factory has two machines ??A_1 and ??A_2 . Past records shows that machine...
Assume that a factory has two machines ??A_1 and ??A_2 . Past records shows that machine ??A_1 produces 60% of the items of output and machine ??A_2 produces 40% of the items. Further, 2% of the items produced by machine ??A_1 were defective and only 1% produced by machine ??A_2 were defective. If a detective item is drawn at random, what is the probability that it was produced by machine ??A_1 ?
7. (S 2.3) A hand of 13 cards is to be dealt at random and without...
7. (S 2.3) A hand of 13 cards is to be dealt at random and without replacement from an ordinary deck of playing cards. Find the conditional probability that there are four kings in the hand given that the hand contained at least one king. 8. (S 2.3) In a certain factory, machines I, II, and III are all producing springs of the same length. Machines 1, 11, and 111 produce 1%, 4%, and 2% defective springs, respectively. Of the...
Q4: 3 marks A manufacturer has three machines I, Il and Il installed in his factory....
Q4: 3 marks A manufacturer has three machines I, Il and Il installed in his factory. Machines I and Il are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are...
please show all work 1. 120 points! Four machines produce the total output of a factory,...
please show all work
1. 120 points! Four machines produce the total output of a factory, Machine 1 produces 30%, machine 2 produces 25% machine 3 produces 12% and machine 4 produces 13% of the output. 5% of the output of machine lis defective, 8% from machine 2 is not defective, 3% from machine 3 is defective and 4% from machine 4 is not defective. If a finished item is selected at rindom, a. What is the probability of it...
Roberta, Inc., manufactures elliptical machines for several well-known companies. The machines differ significantly in their complexity...
Roberta, Inc., manufactures elliptical machines for several well-known companies. The machines differ significantly in their complexity and their manufacturing batch sizes. The following costs were incurred in 2017: (Click the icon to view the costs.) Read the requirements. - X Х i Requirements 1. Classify each of the preceding costs as output unit-level, batch-level, product-sustaining, or facility-sustaining. Explain each answer. 2. Consider two types of elliptical machines made by Roberta, Inc. One machine, designed for professional use, is complex to...
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for...
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for each of the three heaters is and $88, respectively. Determine the number of each type of heater, maximize the company's hourly revenue. Each heater Hi takes 2 minutes on machine M, and 5 minutes on machine M2. Each heater H2 takes 8 minutes on machine...
McGovern is a car manufacturing company. It builds 2 types of cars: a sports car and...
McGovern is a car manufacturing company. It builds 2 types of cars: a sports car and a sports utility vehicle (SUV). Its vehicles are very popular among its customers. Recently, increased demand for both vehicles has caused the company to revisit its total number of cars to produce and unit costs for those vehicles. Each sports car generates 10 kilowatt hours of energy to be produced and each SUV requires 20 kilowatt hour of energy to be produced. Each kilowatt...
McGovern is a car manufacturing company. It builds 2 types of cars: a sports car and...
McGovern is a car manufacturing company. It builds 2 types of cars: a sports car and a sports utility vehicle (SUV). Its vehicles are very popular among its customers. Recently, increased demand for both vehicles has caused the company to revisit its total number of cars to produce and unit costs for those vehicles. Each sports car generates 10 kilowatt hours of energy to be produced and each SUV requires 20 kilowatt hour of energy to be produced. Each kilowatt...
(b) At a factory where bolts are produced, machines A, B, C produce respectively 25%, 35% and 40% of all bolts. Of the output of these machines, defects constitute 5%, 4% and 2% respectively. A bolt selected at random from the production turned out to be defective. What machine was the most likely to have produced this defective bolt? (give the probability it was this machine.) [5]
7. (S 2.3) A hand of 13 cards is to be dealt at random and without replacement from an ordinary deck of playing cards. Find the conditional probability that there are four kings in the hand given that the hand contained at least one king. 8. (S 2.3) In a certain factory, machines I, II, and III are all producing springs of the same length. Machines 1, 11, and 111 produce 1%, 4%, and 2% defective springs, respectively. Of the...
Q4: 3 marks A manufacturer has three machines I, Il and Il installed in his factory. Machines I and Il are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are...
please show all work
1. 120 points! Four machines produce the total output of a factory, Machine 1 produces 30%, machine 2 produces 25% machine 3 produces 12% and machine 4 produces 13% of the output. 5% of the output of machine lis defective, 8% from machine 2 is not defective, 3% from machine 3 is defective and 4% from machine 4 is not defective. If a finished item is selected at rindom, a. What is the probability of it...
Roberta, Inc., manufactures elliptical machines for several well-known companies. The machines differ significantly in their complexity and their manufacturing batch sizes. The following costs were incurred in 2017: (Click the icon to view the costs.) Read the requirements. - X Х i Requirements 1. Classify each of the preceding costs as output unit-level, batch-level, product-sustaining, or facility-sustaining. Explain each answer. 2. Consider two types of elliptical machines made by Roberta, Inc. One machine, designed for professional use, is complex to...
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for each of the three heaters is and $88, respectively. Determine the number of each type of heater, maximize the company's hourly revenue. Each heater Hi takes 2 minutes on machine M, and 5 minutes on machine M2. Each heater H2 takes 8 minutes on machine...
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