Question

In: Statistics and Probability

Question 8 A factory uses a diagnosis test whether a part is defective or not. This...

Question 8 A factory uses a diagnosis test whether a part is defective or not. This test has a 0.90
probability of giving a correct result when applied to a defective part and a 0.05 probability
of giving an incorrect result when applied to a non-defective part. It is believed that one
out of every thousand parts will be defective.


(a) Calculate the posterior probability that a part is defective if the test says it is defec-
tive.
(b) Calculate the posterior probability that a part is non-defective if the test says it is
non-defective.
(c) Calculate the posterior probability that a part is misdiagnosed.

Solutions

Expert Solution


Related Solutions

QUESTION 5 A factory produces pins of which 1.5% are defective. The components are packed in...
QUESTION 5 A factory produces pins of which 1.5% are defective. The components are packed in boxes of 12. A box is selected at random. (1) n = 12 (2) p = 0.0150 (Round to four decimal places) (3) q = (Round to four decimal places) Find the following probabilities (Round ALL answers to four decimal places): 4) The box contains exactly 6 defective pins 5) The box contains at least one defective pins 6) The box contains no more...
This is an 8 Part Question. If you guys want to count it as 8 question...
This is an 8 Part Question. If you guys want to count it as 8 question on my chegg account please do so. I know it is long I just dont understand it The countries of Europe report that 46% of the labor force is female. The United Nations wonders if the percentage of females in the labor force is the same in the United States. Representatives from the United States Department of Labor plan to check a random sample...
a.   Suppose that 5 % of the items produced by a factory are defective. If 5...
a.   Suppose that 5 % of the items produced by a factory are defective. If 5 items are chosen at random, what is the probability that none of the items are defective? Write your answer as a decimal accurate to three decimal places. b. Suppose that 7.9 % of the items produced by a second factory are defective. If 5 items are chosen at random from the second factory, what is the probability that exactly one of the items is...
This question has 8 parts. Each of the 8 parts (Part A - Part H) has...
This question has 8 parts. Each of the 8 parts (Part A - Part H) has a dropdown list of possible answers. Choose the best answer from the dropdown list for EACH part of the question below. Open the "Lab Dataset" (HSCI390.sav) you have been using for lab assignments in SPSS. Your analysis will focus on the variable "Weight in pounds" (NQ50). Researchers are interested in examining how the average weight of students at CSUN compares to the average weight...
Problem 8 is this: Your factory has been offered a contract to produce a part for...
Problem 8 is this: Your factory has been offered a contract to produce a part for a new printer. The contract would be for three years and your cash flows from the contract would be $5 million per year. Your up-front setup costs to be ready to produce the part would be $8 million. Your cost of capital for this contract is 8%. a. What does the NPV rule say you should do? b. If you take the contract, what...
A television factory knows that 2% of their televisions are defective. In a batch of 100...
A television factory knows that 2% of their televisions are defective. In a batch of 100 new televisions, 4 of them are inspected at random. What is the probability that 1 of them will be defective? What is the probability that they all turn out to be defective?
Lean Manufacturing question. (why standard worksheets are a part of visual factory)?
Lean Manufacturing question. (why standard worksheets are a part of visual factory)?
Question 8 Hypothesis Test - Terminology Match terms to descriptions Question 8 options: a) The hypothesis...
Question 8 Hypothesis Test - Terminology Match terms to descriptions Question 8 options: a) The hypothesis expressing a claim involving one of =, ≤ (at most), or ≥ (at least) and requiring no (null) action. b) The hypothesis expressing a claim involving one of ≠, >, or < and requiring action. c) The sign of the critical value of a a 1-tail test with upper reject region is d) Greek letter denoting the population standard deviation e) For an upper...
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT