It is reported that 50% of all computer chips produced are defective. Inspection insures that only...
It is reported that 50% of all computer chips produced are defective. Inspection insures that only 5% of the chips legally marketed are defective. Unfortunately. some chips are stolen before inspection. If 1% of all chips on the market are stolen, find the probability that a given chip is stolen given that it is defective.
I understand the problem, but am confused how P(D|S) is .5. Why would it not be P(D) = .5 when 50% of computer chips produced are defective?
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It is reported that 50% of all computer chips produced are
defective. Inspection insures that only...
If 2% of all chips on the market are stolen. From the stolen chips, 50% are...
If 2% of all chips on the market are stolen. From the stolen chips, 50% are defective. From the legally marketed chips, 5% are defective. Given a customer has bought two defective chips, what is the probability only one was stolen?
A company makes computer chips. Minor defects in the materials (silicon, etc.) are common, and the...
A company makes computer chips. Minor defects in the materials (silicon, etc.) are common, and the probability that any one chip is defective is 25%. Therefore, the company tests each chip to make sure it is good before it sends it to market. The test that the company uses is not perfect – even a bad chip will pass the test 10% of the time, and a good chip will fail 5% of the time. In the long run, what...
(4.) Suppose you are running a manufacturing plant building computer chips for smart phones. You supply...
(4.) Suppose you are running a manufacturing plant building computer chips for smart phones. You supply K chips per day to your customer. The manufacturing process is not perfect, however, and with probability p each chip produced is faulty (the state of all chips are mutually independent). Unfortunately it is not known whether a chip is faulty until the customer assembles it into a phone. As a result, you must reimburse the customer Sr for each faulty chip. Suppose that...
Problem 2: Problem 2: (20 points) Exam #3A ong all the computer chips produced by a...
Problem 2:
Problem 2: (20 points) Exam #3A ong all the computer chips produced by a certain factory, 6 percent are defective. A sample of 400 chips a. (10 points) What is the probability that this sample contains between 20 and 38 defective b. (10 points) Suppose that each of 40 inspectors collects a sample of 400 chips. What is the is selected for inspection 4 xt.S -np chips (including 20 and 38)? probability that at least 30 inspectors will...
and 4. A company uses three plants to produce a new computer chip. Plant A produces...
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...
In a production operation of an electronics firm, a company manufactures I/O circuit chips that is used in a final assem...
In a production operation of an electronics firm, a company manufactures I/O circuit chips that is used in a final assembly process. The chips, manufactured in batches sizes are either good (G) or defective (B). Historical data indicates that P(G) = .8 and P(B)=.2. The company has the following options: Send the batch, “as is,” onto the final production assembly. It costs $1,000 to send good parts onto production and $4,000 to send bad parts to final production (due to...
Suppose a computer chip manufacturer rejects 5% of the chips produced because they fail presale testing....
Suppose a computer chip manufacturer rejects 5% of the chips produced because they fail presale testing. Assume the bad chips are independent. Complete parts a through d below. a) Find the probability that the fifth chip they test is the first bad one they find. The probability is (Type an integer or a decimal. Round to three decimal places as needed.) b) Find the probability they find a bad one within the first 7 they examine The probability is (Type...
Discrete math: A company uses computer vision software for quality inspection of its products. Over all...
Discrete math: A company uses computer vision software for quality inspection of its products. Over all products, 1 out of 10 is defective. The software labels non-defective products to be correct in 17 out of 18 cases. Defective products are (falsely) labeled to be correct in 1 out of 5 cases. Given that a product is labeled to be correct, what is the probability that it is actually defective? 5/64 2/87 0.0018 0.078 The producer of a laboratory test for...
23. A company claims that at least 98% of its computer chips are perfect and defect...
23. A company claims that at least 98% of its computer chips are perfect and defect free. A random sample of 1000 chips is drawn and only 950 chips are found to be perfect. The calculated value of the test statistic is: (a) -6.78 (6) -4.52 (C) -2.575 (0) 4.52 (e) more than 6.00 24. A subjective probability is: (a) The probability of two events occurring together. (b) The probability of an event given that we know that another event...
2) Chile is an importer of computer chips, taking the world price of $12 per chip...
2)
Chile is an importer of computer chips, taking the world price
of $12 per chip as given. Suppose Chile imposes a $7 tariff on
chips. Which of the following outcomes is possible?
A.
The price of chips in Chile increases to $16; the quantity of
Chilean-produced chips increases; and the quantity of chips
imported by Chile decreases.
B.
The price of chips in Chile increases to $19; the quantity of
Chilean-produced chips increases; and the quantity of chips
imported...
(4.) Suppose you are running a manufacturing plant building computer chips for smart phones. You supply K chips per day to your customer. The manufacturing process is not perfect, however, and with probability p each chip produced is faulty (the state of all chips are mutually independent). Unfortunately it is not known whether a chip is faulty until the customer assembles it into a phone. As a result, you must reimburse the customer Sr for each faulty chip. Suppose that...
Problem 2:
Problem 2: (20 points) Exam #3A ong all the computer chips produced by a certain factory, 6 percent are defective. A sample of 400 chips a. (10 points) What is the probability that this sample contains between 20 and 38 defective b. (10 points) Suppose that each of 40 inspectors collects a sample of 400 chips. What is the is selected for inspection 4 xt.S -np chips (including 20 and 38)? probability that at least 30 inspectors will...
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...
Suppose a computer chip manufacturer rejects 5% of the chips produced because they fail presale testing. Assume the bad chips are independent. Complete parts a through d below. a) Find the probability that the fifth chip they test is the first bad one they find. The probability is (Type an integer or a decimal. Round to three decimal places as needed.) b) Find the probability they find a bad one within the first 7 they examine The probability is (Type...
23. A company claims that at least 98% of its computer chips are perfect and defect free. A random sample of 1000 chips is drawn and only 950 chips are found to be perfect. The calculated value of the test statistic is: (a) -6.78 (6) -4.52 (C) -2.575 (0) 4.52 (e) more than 6.00 24. A subjective probability is: (a) The probability of two events occurring together. (b) The probability of an event given that we know that another event...
2)
Chile is an importer of computer chips, taking the world price
of $12 per chip as given. Suppose Chile imposes a $7 tariff on
chips. Which of the following outcomes is possible?
A.
The price of chips in Chile increases to $16; the quantity of
Chilean-produced chips increases; and the quantity of chips
imported by Chile decreases.
B.
The price of chips in Chile increases to $19; the quantity of
Chilean-produced chips increases; and the quantity of chips
imported...
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