Quality control: A population of 580 semiconductor wafers contains wafers from three lots. The wafers are...
Quality control: A population of 580 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. Lot Conforming Nonconforming A 80 13 B 162 35 C 257 33
(a) What is the probability that the wafer is from Lot B?
(b) What is the probability that the wafer is conforming?
(c) What is the probability that the wafer is from Lot B and is conforming?
(d) Given that the wafer is from Lot B, what is the probability that it is conforming?
(e) Given that the wafer is conforming, what is the probability that it is from Lot B? (f) Let E 1 be the event that the wafer comes from Lot B, and let E 2 be the event that the wafer is conforming. Are E 1 and E 2 independent?
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Quality control: A population of 580 semiconductor wafers
contains wafers from three lots. The wafers are...
Quality control: A population of 577 semiconductor wafers contains wafers from three lots. The wafers are...
Quality control: A population of 577 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. Lot Conforming Nonconforming A 83 13 B 167 27 C 254 33 (b) What is the probability that the wafer is...
2. A population of 600 semiconductor wafers contain wafers from three lots. The whether they conform...
2. A population of 600 semiconductor wafers contain wafers from three lots. The whether they conform to a thickness specification. The following table presents the number of wafers in each category. A wafer is chosen at random from the population Lot Conforming 88 nonconforming 12 165 260 If the wafer is conforming, what is the probability that it is from Lot A? If the wafer is not from Lot C, what is the probability that it is conforming?
1 2 3 Items are inspected for flaws by two quality inspectors. If a flaw is...
1
2
3
Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. Assume the inspectors function independently Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? Round the answer to three...
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified...
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.7 and that wafers are independent. Determine the cumulative distribution function of the number of wafers from a lot that pass the test at specified values. Round your answers to three decimal places (e.g. 98.765). F(O) = P(X=0) = .027 F(1) = P(X= 1) = i .189 F(2) =...
Assignment Assignment open Assignment Problem 3.045 Problem 3,039 In a semiconductor manufacturing process, three wafers from...
Assignment Assignment open Assignment Problem 3.045 Problem 3,039 In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and that wafers are independent. Determine the cumulative distribution function of the number of wafers from a lot that pass the test at specified values. Round your answers to three decimal places (e.g. 98.765). Problem 3.046 Review Score Obiectiv Moble...
Answer all parts please Three times each day a quality control engineer samples a component from...
Answer all parts please
Three times each day a quality control engineer samples a component from a recently manufactured batch and tests it. Each part is given one of three classifications: conforming suitable for its intended use downgraded unsuitable for its intended purpose, but usable for another purpose S scrap - not usable An experiment consists of recording (in order) the classifications of the three parts tested on a particular day. List all of the outcomes in the sample space....
A lot of 108 semiconductor chips contains 20 that are defective. Two are selected randomly, without...
A lot of 108 semiconductor chips contains 20 that are defective. Two are selected randomly, without replacement, from the lot. Round your answers to three decimal places (e.g. 98.765) a) What is the probability that the first one selected is defective? b) What is the probability that the second one selected is defective given that the first one was defective? c) What is the probability that both are defective? d) How does the answer to part (b) change (give the...
HW4 7-4. Suppose that samples of size n=25 are selected at ran- dom from a normal...
HW4 7-4. Suppose that samples of size n=25 are selected at ran- dom from a normal population with mean 100 and standard deviation 10. What is the probability that the sample mean falls in the interval from uly-1.70 touy +1.50 ? 7-5. A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 520 KN/m and standard deviation 25 KN/mp. Find the probability that a ran- dom sample of n= 6 fiber specimens will have...
3. Let C be the event that a patient suffers from a certain condition, and let T denote a positive result from a lab te...
3. Let C be the event that a patient suffers from a certain condition, and let T denote a positive result from a lab test that is designed to detect the presence of said condi- tion. Suppose that the proportion of the population that actually has the condition IS E E (0,1). Additionally, suppose that, when the condition is actually present in a patient, the test is positive with probability a (0,1). On the other hand, when the patient does...
Two doctors independently examine a person randomly chosen from a certain population to check for the...
Two doctors independently examine a person randomly chosen from a certain population to check for the presence or absence of a particular disease. Let CA be the event that Doctor A makes the correct diagnosis, CB the event that Doctor B makes the correct diagnosis, and D the event that the randomly chosen patient actually has the disease in question. The doctors are equally skilled, so we have P(CAD) = P(CB|D) = pi and P(CA|DC) = P(CB|DC) = po Finally,...
2. A population of 600 semiconductor wafers contain wafers from three lots. The whether they conform to a thickness specification. The following table presents the number of wafers in each category. A wafer is chosen at random from the population Lot Conforming 88 nonconforming 12 165 260 If the wafer is conforming, what is the probability that it is from Lot A? If the wafer is not from Lot C, what is the probability that it is conforming?
1
2
3
Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. Assume the inspectors function independently Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? Round the answer to three...
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.7 and that wafers are independent. Determine the cumulative distribution function of the number of wafers from a lot that pass the test at specified values. Round your answers to three decimal places (e.g. 98.765). F(O) = P(X=0) = .027 F(1) = P(X= 1) = i .189 F(2) =...
Assignment Assignment open Assignment Problem 3.045 Problem 3,039 In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and that wafers are independent. Determine the cumulative distribution function of the number of wafers from a lot that pass the test at specified values. Round your answers to three decimal places (e.g. 98.765). Problem 3.046 Review Score Obiectiv Moble...
Answer all parts please
Three times each day a quality control engineer samples a component from a recently manufactured batch and tests it. Each part is given one of three classifications: conforming suitable for its intended use downgraded unsuitable for its intended purpose, but usable for another purpose S scrap - not usable An experiment consists of recording (in order) the classifications of the three parts tested on a particular day. List all of the outcomes in the sample space....
A lot of 108 semiconductor chips contains 20 that are defective. Two are selected randomly, without replacement, from the lot. Round your answers to three decimal places (e.g. 98.765) a) What is the probability that the first one selected is defective? b) What is the probability that the second one selected is defective given that the first one was defective? c) What is the probability that both are defective? d) How does the answer to part (b) change (give the...
HW4 7-4. Suppose that samples of size n=25 are selected at ran- dom from a normal population with mean 100 and standard deviation 10. What is the probability that the sample mean falls in the interval from uly-1.70 touy +1.50 ? 7-5. A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 520 KN/m and standard deviation 25 KN/mp. Find the probability that a ran- dom sample of n= 6 fiber specimens will have...
3. Let C be the event that a patient suffers from a certain condition, and let T denote a positive result from a lab test that is designed to detect the presence of said condi- tion. Suppose that the proportion of the population that actually has the condition IS E E (0,1). Additionally, suppose that, when the condition is actually present in a patient, the test is positive with probability a (0,1). On the other hand, when the patient does...
Two doctors independently examine a person randomly chosen from a certain population to check for the presence or absence of a particular disease. Let CA be the event that Doctor A makes the correct diagnosis, CB the event that Doctor B makes the correct diagnosis, and D the event that the randomly chosen patient actually has the disease in question. The doctors are equally skilled, so we have P(CAD) = P(CB|D) = pi and P(CA|DC) = P(CB|DC) = po Finally,...
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