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A company has two machines that produce widgets. An older machine produces 20% defective widgets, while...
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
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
A company produces 3 widgets using two different machines. Every Widget A made requires 10 minutes of operation on machine 1 and 20 minutes of operation on machine 2. Widget A can be sold for $4 an item. Every Widget B requires 2 minutes of operation on machine 1 and 15 minutes of operation on machine 2. Widget B can be sold for $5 an item Each Widget C requires 30 minutes of operation on machine 1 and 8 minutes...
In a factory, only two machines, A and B, manufacture washers. Neither machine is perfect: machine A produces defective washers 14% of the time, while machine B produces defectives 10% of the time. Machine B is more efficient than machine A and accounts for 80% of the total output of washers. For purposes of quality control, a sample of washers is taken and examined for defectives. Compute the probability that a randomly chosen washer found to be defective was manufactured...
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...
Acme Products manufactures widgets. It has two machines which produce widgets. It is desirable that both machines produce widgets of the same dimensions. At regular time intervals Acme's quality control tests the widgets from both machines. The last test produced the following results. SM1 = 5.31 S1 = 1.27 n1 = 64 SM2 = 5.69 S2 = 1.56 n2 = 64 Test Ho; p 1 = 2 vs. Ha:p1<>u2 at the a = .05 level of significance. Assume that the...
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 ?
Question 4 2 pts Acme Products manufactures widgets. It has two machines which produce widgets. It is desirable that both machines produce widgets of the same dimensions. At regular time intervals Acme's quality control tests the widgets from both machines. The last test produced the following results. Assume that the two Standard Deviations are equal (pooled Yes) SM1 = 5.61 S1 = 1.07 n1 = 100 SM2 = 5.89 S2 = 1.26 n2 = 100 Calculate a 95% confidence interval...
and 4. A company uses three plants to produce a new computer chip. Plant A produces chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defective rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram and write the appropriate probability on each of the...
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?