The company has two machines that produce certain items. Machine 1 produces 40 % of the...
A company has two machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 4% defective widgets. However, the older machine produces 5 times as many widgets as the new machine does. What is the probability that a randomly chosen widget produced by the company is both produced by the new machine and is not defective?
A company has two machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 3% defective widgets. However, the older machine produces 8 times as many widgets as the new machine does. What is the probability that a randomly chosen widget produced by the company is both produced by the new machine and is defective? Answer is 0.0033
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 ?
3. Two different machines were used for producing a large batch of similar manufactured items. Suppose that 40% of the items were produced by M and 60% of the items were produced by machine 2. Suppose further than 1% of the items produced by machine 1 are defective and 3% of the items produced by M2 defective are Let B be the event that the selected item was produced by Mi and B2 be the event that the selected item...
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...
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?
A small brewery has two bottling machines. Machine A produces 60% of the bottles, and machine B produces 40%. 1 out of every 20 bottles filled by A is rejected for some reason, while 1 out of 30 bottles from B is rejected. (a) What proportion of bottles is rejected? (b) What is the probability that a randomly selected bottle comes from machine A, given that it is accepted?
A company uses 2 machines to produce rods. The length of the rods from both machines follow exponential distributions. Machine A produces rods with a mean length of 6 inches, while machine b produces rod with mean length of 10 inches. In the factory 1/3 of rods are produce by machine A and 2/3 by machine B. 2 rods are selected from a defective batch, both have a length greater than 12. What is the probability the defective rods were...
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...
When a machine is adjusted properly, 60% of the items produced by it are of high quality and the other 40% are of medium quality. However, the machine is improperly adjusted, 25% of the items produced by it are of high quality and 75% are of medium quality. The machine is improperly adjusted 10% of the time. Suppose that 4 items produced by the machine at a certain time are randomly selected and inspected. If 3 of these iterms are...