In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,
In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,
1- What is the probability that the item is defective?
2- What is the probability that the item was produced by machine A given that it was found defective?
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In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,
The company has two machines that produce certain items. Machine 1 produces 40 % of the...
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is
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 ?
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items...
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ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective....
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
Homework Assigment - Quality Control Problem: We know that the probability of an item being defective,...
Homework Assigment - Quality Control Problem: We know that the probability of an item being defective, p, can only be .05,.1 or .2. However, we have no additional information on which on if these three is more likely If we test items until a defective item has been found, what is the probability that p is .05, .1 or .2 given you had to test 1, 2, 3, 4 or 5 items (I am asking for 135 posterior probabilities)? Setup...
A company has 2 factories that produce digital cameras, Factory A and Factory.B. Factory produces 3...
A company has 2 factories that produce digital cameras, Factory A and Factory.B. Factory produces 3 times as many digital cameras as Factory A does. 23% of digital cameras produced by factory A are defective. 8% of digital cameras produced by Factory B are defective. What is the probability that a digital camera was produced by factory.B given that it is defective? (Round to nearest percentage) A. 20 B. 10 C.40 D. 51 m.
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...
2. A quality control engineer works at a factory that bottles engine oil. The amount of...
2. A quality control engineer works at a factory that bottles engine oil. The amount of oil is normally distributed with mean 40 litres and standard deviation of 0.05 litres. If the amount is less than 39.9 litres or more than 40.1 litres it is deemed to fail the quality control process. (a) Find the probability that a bottle will fail quality control. (b) If the factory want to improve so that a bottle will fail 2% of the time,...
1. Daily production produces 50,000 balloons. It is known that theproduction process produces 0.004% defective balloons...
1. Daily production produces 50,000 balloons. It is known that theproduction process produces 0.004% defective balloons (i.e., the probability that a randomly selected balloon is defective is 0.00004). Whether one balloon is defective or not is independent of all other balloons. From one day’s production, estimate the chance of producing at least 3 defective balloons. 2. A shipment contains 100 I-Pods, 8 of which are defective. I sample 4I-Pods from the shipment of 100 I-Pods at random. Estimate the chance of...
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
Homework Assigment - Quality Control Problem: We know that the probability of an item being defective, p, can only be .05,.1 or .2. However, we have no additional information on which on if these three is more likely If we test items until a defective item has been found, what is the probability that p is .05, .1 or .2 given you had to test 1, 2, 3, 4 or 5 items (I am asking for 135 posterior probabilities)? Setup...
A company has 2 factories that produce digital cameras, Factory A and Factory.B. Factory produces 3 times as many digital cameras as Factory A does. 23% of digital cameras produced by factory A are defective. 8% of digital cameras produced by Factory B are defective. What is the probability that a digital camera was produced by factory.B given that it is defective? (Round to nearest percentage) A. 20 B. 10 C.40 D. 51 m.
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...
2. A quality control engineer works at a factory that bottles engine oil. The amount of oil is normally distributed with mean 40 litres and standard deviation of 0.05 litres. If the amount is less than 39.9 litres or more than 40.1 litres it is deemed to fail the quality control process. (a) Find the probability that a bottle will fail quality control. (b) If the factory want to improve so that a bottle will fail 2% of the time,...
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