A worker-operated machine produces a defective item with probability 0.06 if the worker follows the machine's...

A worker-operated machine produces a defective item with probability 0.06 if the worker follows the machine's operating instructions exactly, and with probability 0.09 if he does not. If the worker follows the instructions 90% of the time, what proportion of all items produced by the machine will be defective?

If an item is known to be defective, what is the probability that the worker who made it followed the instructions? If necessary, round final answer to four decimal places.

Expert Solution

TOPIC:Theorem of total probability, Bayes' theorem.

orchestra answered 2 years ago

(a) The probability of a defective item produced by a machine is 0.20. Find the probability...

(a) The probability of a defective item produced by a machine is 0.20. Find the probability that at least 3 of the 5 next items produced by a machine will be in this defective. (b) Analyze skewness of the following data with formula and diagram. 1,2,5,2,3,1,3,1.

A) Machine A produces an average of 10% of defective parts. Machine B produces on average...

A) Machine A produces an average of 10% of defective parts. Machine B produces on average twice as many defective parts as machine A. Machine C produces on average three times more defective parts than machine B. Here are 8 bags of parts from A, 2 bags of parts from B and 1 bag of coins from C. We randomly take a coin from one of the bags itself also taken at random. She is defective. 1. What is the...

A manufacturing process produces 6.6% defective items. What is the probability that in a sample of...

A manufacturing process produces 6.6% defective items. What is the probability that in a sample of 40 items: a. 12% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability c) more than 12% or less than 2% will be defective? (Round the z-value to 2...

QUESTION 23 Probability of Defective Products A bottling machine is designed to fill 16.75 fluid ounces of...

QUESTION 23 Probability of Defective Products A bottling machine is designed to fill 16.75 fluid ounces of water in each water bottle. However, the actual fillings vary by small quantities. For many reasons, either too much water or too little water per filling is not desirable. Thus, the quality assurance manager puts out the following specification limits for the water content of each bottle: an LSL of 16.63 fluid ounces and a USL of 16.87 fluid ounces. Based on a very...

A microfiltration membrane operating with pure feed of water produces a flux of 0.06 k g ⋅ s − 1 ⋅ m − 2 0.06 kg⋅s−1⋅m−2 when operated with a TMP of 30 k P a 30kPa.

A microfiltration membrane operating with pure feed of water produces a flux of 0.06 kg⋅s−1⋅m−20.06 kg⋅s−1⋅m−2 when operated with a TMP of 30kPa30kPa. 1. What is the resistance due to the membrane? Specify the units. 2. If operated with a protein-water mixture at a 20kPa20kPa pressure difference, a flux of 216×216× 10−6 kg⋅s−1⋅m−210−6 kg⋅s−1⋅m−2 is measured at steady state. What is the resistance due to cake build-up? Specify the units.

1. A factory manufactures machines. Each machine is defective with probability 1/100, independently. The machines get...

1. A factory manufactures machines. Each machine is defective with probability 1/100, independently. The machines get numbered 1, 2, . . . as they’re produced (a) Out of machines 1, . . . , 1000, what is the probability that none are defective? (b) Out of machines 1, . . . , 1000, what is the probability that two or fewer are defective? (c) Out of machines 1, . . . , 1000, what is the probability that exactly ten...

Question