Suppose the probability of a part being manufactured by Machine A is 0.7 Suppose the probability...
Suppose the probability of a part being manufactured by Machine A is 0.7
Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.07
Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.06
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Find the probability that a part is defective given that it was made by Machine A.
Find the probability that a part is defective.
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Suppose the probability of a part being manufactured by Machine
A is 0.7
Suppose the probability...
Need question number 4 Show all of your work. No credit will be given if there...
Need question number 4
Show all of your work. No credit will be given if there is no work. Simplify if possible, unless noted. Setup: Suppose the probability of a part being manufactured by Machine A is 0.6 Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.09 Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.13 Questions To Answer: 1. (2...
The probability that a certain device manufactured by Acme Corporation will be defective is 0.07. (a)...
The probability that a certain device manufactured by Acme Corporation will be defective is 0.07. (a) If 14 of these devices are manufactured by Acme, what is the probability that at least one will be defective? (c) If 14 of these devices are manufactured by Acme, what is the probability that 4 or less will be defective?
Example: Suppose the machine is watched for three hours. What is the probability that it will...
Example: Suppose the machine is watched for three hours. What is the probability that it will make no more than 12 defective items? (Recall that the machine makes on average 5 defective items per hour) b) What is the probability that at least 6 defective items will be made? c) What is the probability that exactly 13 defective items will be made?
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items...
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...
There are 5% defective parts manufactured by your production line, and you would like to find...
There are 5% defective parts manufactured by your production line, and you would like to find these before they are shipped. A quick and inexpensive inspection method has been devised that identifies 8% of parts as defective. Of parts identified as defective, 50% are truly defective. a. Complete a probability tree for this situation. b. Find the probability that a defective part will be identified (ie, the conditional probability of being identified given that the part was defective). c. Find...
2. a) In a factory, parts are manufactured by three machines, M1, M2, and Ms in...
2. a) In a factory, parts are manufactured by three machines, M1, M2, and Ms in proportions 10: 30: 60. The percentages of 8%, 6%, and 3% of these parts are defective respectively. Find the probability that a randomly chosen part is defective. b) Find the probability that a defective part was manufactured by the second machine
Higbee Manufacturing Corp. has recently received 5 cases of a certain part from one of its...
Higbee Manufacturing Corp. has recently received 5 cases of a certain part from one of its suppliers. The defect rate for the parts is normally 5%, but the supplier has just notified Higbee that one of the cases shipped to them has been made on a misaligned machine that has a defect rate of 97%. So the plant manager selects a case at random and tests a part. a. What is the probability that the part is defective? b. Suppose...
Suppose 20% of the engines manufactured on a certain assembly line are defective. If engines are...
Suppose 20% of the engines manufactured on a certain assembly line are defective. If engines are randomly selected one at a time and tested. a. Find the probability that first defective engine is found on the third trial. b. Find the mean and variance of the number of the trial on which the first defective engines is found.
6) If 10% of the parts produced by a machine are defective, find the probability of...
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
6) If 10% of the parts produced by a machine are defective, find the probability of...
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
Need question number 4
Show all of your work. No credit will be given if there is no work. Simplify if possible, unless noted. Setup: Suppose the probability of a part being manufactured by Machine A is 0.6 Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.09 Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.13 Questions To Answer: 1. (2...
The probability that a certain device manufactured by Acme Corporation will be defective is 0.07. (a) If 14 of these devices are manufactured by Acme, what is the probability that at least one will be defective? (c) If 14 of these devices are manufactured by Acme, what is the probability that 4 or less will be defective?
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...
2. a) In a factory, parts are manufactured by three machines, M1, M2, and Ms in proportions 10: 30: 60. The percentages of 8%, 6%, and 3% of these parts are defective respectively. Find the probability that a randomly chosen part is defective. b) Find the probability that a defective part was manufactured by the second machine
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
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