There are 5% defective parts manufactured by your production line, and you would like to find these before they are shipped. A quick and inexpensive inspection method has been devised that identifies 8% of parts as defective. Of parts identified as defective, 50% are truly defective.
a. Complete a probability tree for this situation.
b. Find the probability that a defective part will be identified
(ie, the conditional probability of being identified given that the
part was defective).
c. Find the probability that a part is defective or is identified
as being defective.
d. Are the events “identified” and “defective” independent? How do
you know?
e. Could an inspection method be useful if the events“identified”
and “defective” were independent? Please explain.
There are 5% defective parts manufactured by your production line, and you would like to find...
6. Suppose that 10% of all the parts manufactured on a certain assembly line are defective. The line produces new part every 7 min, and each new part is tested. The assembly line will be stopped for inspection when 10 defective parts have been found. what is the probability that the line will be stopped before 8 hours?
3. A manufactured part is defective with probability 1/6. Assume that n (a large number) parts are produced each day in a factory and X is the number of defective parts. (a) Compute EX. (b) Find the approximate probability that X differs from its expectation by less than 10%, in terms of n and Φ. (c) How large should n be so that the probability in (b) is larger than 0.99? 4. Suppose that it takes an engineer T hours...
Suppose that 8% of products on a production line are defective. An inspector randomly selects these products one at a time until he finds a defective product. There are two parts to this problem. a. What is the probability that at least 12 products must be inspected in order to find the first defective product? Start this part of the problem by stating what X is in words and giving its complete distribution (i.e., write "X = ____" and "X...
Conditional Probability Problem 1) A foundry has 3 different production lines and wants to evaluate the performance of each line. The performance of each line is given below Percent of all parts that Percent of all parts that come from each line and Line X Line Y Line Z TOTAL come from each line 44% 36% 20% 100% are defective 3% 4% 1% 19% Parts from all 3 lines merge into a single conveyor to take them to inspection. Consider...
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Prob 5 You have a multiple choice question with 4 choices. If you know the answer, you get the question right of course. If you do not know the answer, you pick a choice at random. Given you got an answer right, what is the probability you knew the answer? -solution to prob 5- Prob 5 Let K be the event that you know the answer, C the event that you get the answer correct. The event you guess is...
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Introduction: A manufacturing company that possesses many complexities can be highly challenged when maintaining production goals and standards in conjunction with a major organizational change. Garment manufacturing is a complex industry for many reasons. The product line is a complex array of styles, seasons, varying life cycles and multidimensional sizing. Many sewn product firms are viewing TQM as the appropriate strategy to meet the double demand of competition and quality; however, many companies are finding sustaining their TQM adoption decision...