(10 marks) Defective items coming off an assembly line are determined to be caused by exactly...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(10 marks) Defective items coming off an assembly line are determined to be caused by exactly one of 3 factors. For any randomly selected defective item, the probability the defect is caused by factor i is i' /36, i=1,2,3. It is also known that for any randomly selected defective item, the probability of correctly detecting it is caused by factor i upon testing for factor i is, i=1,2,3. 5 Also, there is no possibility of a false positive. For example, if the cause is due to factor 1, there is a zero probability that a test for factors 2 or 3 will result in a positive test result. a) (5 marks) For a randomly selected defective item, given a test for factor 1 was negative, what is the probability the defect is caused by factor 1? b) (5 marks) For a randomly selected defective item, given a test for factor 2 was negative, what is the probability the defect is caused by factor 3? (10 marks) Defective items coming off an assembly line are determined to be caused by exactly one of 3 factors. For any randomly selected defective item, the probability the defect is caused by factor i is i' /36, i=1,2,3. It is also known that for any randomly selected defective item, the probability of correctly detecting it is caused by factor i upon testing for factor i is, i=1,2,3. 5 Also, there is no possibility of a false positive. For example, if the cause is due to factor 1, there is a zero probability that a test for factors 2 or 3 will result in a positive test result. a) (5 marks) For a randomly selected defective item, given a test for factor 1 was negative, what is the probability the defect is caused by factor 1? b) (5 marks) For a randomly selected defective item, given a test for factor 2 was negative, what is the probability the defect is caused by factor 3?
Expert Answer:
Answer rating: 100% (QA)
a Solution P act 3T ve Placta Tve b plact 2 T ve Pact 21ve ... View the full answer
Related Book For
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
Posted Date:
Students also viewed these accounting questions
-
Checking all manufactured items coming off an assembly line for defectives would be a costly and time-consuming procedure. One effective and economical method of checking for defectives involves the...
-
DVD players coming off an assembly line are automatically checked to make sure they are not defective. The manufacturer wants an interval estimate of the percentage of DVD players that fail the...
-
Every 10th Samsung television coming off an assembly line is checked for defects. Identify the sampling technique used to obtain a sample.
-
Our thoughts return to Ambrose and his nuts and berries. Ambroses utility function is U(x1, x2) = 4x1 + x2, where x1 is his consumption of nuts and x2 is his consumption of berries. (a) Let us find...
-
What is a proxy statement, and why is it important to the analyst?
-
For the normal distribution described in Exercise 7.15, what is the probability that Jamals commuting time to work today will be a. Less than 29 minutes? b. Between 29 and 33 minutes? c. More than 32...
-
Isabella is creating a collage for a project and wants a horizontal cut in the collage. The cut will be made by using purple strips of cloth that are \(28 \mathrm{~mm}\) long, and yellow strips of...
-
Cost Structure to erratic sales of its sole producta high-capacity battery for laptop computersPEM, Inc., has been experiencing difficulty for some time. The companys contribution format income...
-
1. If the market-risk premium were 4% and a security's beta coefficient were 2.0, what would be the required rate of return for the security? (The risk-free return is fixed at 6% in this graph.) a....
-
In November 2015, John Wells, a customer service representative of Bayfield Mud Company, was summoned to the Houston warehouse of Wet-Land Drilling, Inc., to inspect three boxcars of mud treating...
-
Un bono emitido por IBM el 1 de diciembre de 1996 estprogramado para vencer el 1 de diciembre de 2096. Si hoy es el 2 dediciembre de 2022, cul es el tiempo de vencimiento de estebono? 1 answer
-
The discussion for this unit will place you in a situation similar to that in which Socrates found himself, as described in the "Historical Roots" presentation. Socrates was sentenced to death but...
-
What type of intervention do you see as being the most effective? Why? What about the least? 1. Juvenile intensive probation supervision (JIPS) involves treating offenders who would normally have...
-
Multiple Production Department Factory Overhead Rate Method Handy Leather, Inc., produces three sizes of sports gloves: small, medium, and large. A glove pattern is first stenciled onto leather in...
-
Finn filed an application for divorce from his husband Vidal, in which he claimed spousal support of $4,000 per month. On June 9, 2023, Vidal served Finn with an offer, in writing, to pay spousal...
-
Explain the working of parallel IN/Serial OUT Shift Register with the help of circuit diagram? Show the states of the 4-bit register (SRG 4) for the data input and clock waveforms in the figure 1....
-
find an example of evidence used in the paragraph and consider it in light of the reading on Using Evidence . What characteristics of weak or strong evidence, or of effective or ineffective quotation...
-
Aztec Furnishings makes hand-crafted furniture for sale in its retail stores. The furniture maker has recently installed a new assembly process, including a new sander and polisher. With this new...
-
Two gel pens, Gel-1 and Gel-2, are compared on the basis of the number of weeks before they stop writing. Out of 27 persons available, 13 are randomly chosen to receive Gel-1 and the other 14 receive...
-
Referring to Exercise 6.55, use MINITAB or another package program to make a normal-scores plot of the computer anxiety scores in Table D.4 of the Data Bank.
-
Let X1, . . . , Xn" be a random sample from a continuous population whose median is denoted by M. For testing H0: M = M0, we can use the sign test statistic S = No. of Xi > M0,i = 1, . . . , n. H0 is...
-
Pop Ltd buys 100 per cent of the shares of Sibling Ltd on 31 December 2002. The balance sheets of the two companies on 31 December 2003 are as shown. You are to draw up a consolidated balance sheet...
-
Dad and Mum Ltd bought 60 per cent of the shares of Child 1 and 2 Ltd on 31 March 2004. The balance sheets of the two companies on 31 March 2005 are as follows. You are to draw up a consolidated...
-
Papai Ltd bought 51 per cent of the shares in Sons and Co Ltd on 31 October 2007. From the following balance sheets you are to draw up the consolidated balance sheet as at 31 October 2008. Papai...
Study smarter with the SolutionInn App