T5.12. Three machines-A, B, and C-are used to pro-duce a large quantity of identical parts at a factory. MachineA produces 60% of the parts, while Machines B and C pro-duce 30% and 10% of the parts, respectively. Historicalrecords indicate that 10% of the parts produced by MachineA are defective, compared with 30% for Machine B and40% for Machine C.(a) Draw a tree diagram to represent this chance process.(b) If we choose a part produced by one of these threemachines, what's the probability that it's defective? Showyour work.(c) If a part is inspected and found to be defective, whichmachine is most likely to have produced it? Give appropri-ate evidence to support your answer.

Here define events and draw probability tree from given information

Answered: T5.12. Three machines-A, B, and C-are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y 5 1 if the project was successfully completed in the allocated time and y 5 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completing the task. b. Compute the probability of successfully completing the task for an engineer having
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 5 6 7 Day Store 1 Store 2 1 Difference (Store 1 - Store 2) Send data to calculator ✓ 2 3 786 878 827 645 708 500 699 140 Yes No 4 646 802 712 579 527 367 76 115 66 181 133 8 (a) State the null hypothesis H and the alternative hypothesis H₁. H:D H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 970 9 10 11 12 618 679 762 635 271 572 324 215 698 530 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis…
Illustration. 21.22. Comment criticaly on the following state- ments: (a) Road accidents resulted in 4513 deaths in 1958 and 5250 in 1967 while the number of women drivers increased in the period. Hence women make bad drivers. (b) Of 300 persons inoculated against influenza during the epide- mic only 12% were affected. This shows a marked improvement com- paring with the remainder of the population for which the equivalent igure was 28%.
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G.140.
Otitis media, or middle ear infection, is initially treated with an antibiotic. Researchers have compared two antibiotics, A and B, for their cost effectiveness. A is inexpensive, safe, and effective. B is also safe. However, it is considerably more expensive and it is generally more effective. Use the tree diagram to the right (where the costs are estimated as the total cost of medication, office visit, ear check, and hours of lost work) to answer the following. a. Find the expected cost of using each antibiotic to treat a middle ear infection. b. To minimize the total expected cost, which antibiotic should be chosen? a. The expected cost of using antibiotic A is S (Round to the nearest cent as needed.) D w an example Get more help ww O Search e ( *** O 19 'C Clear all 0.70 Cure $59.30 A 0.30 No cure $96.15 0.85, Care $69.15 B 0.15 No cure $106.00 Check answer 2:17 PM 12/15/2022
f. A drapper is required to supply two types of shirts type A and type B. The total number of shirts must not be more than 400. He has to supply more of type A than type B. However, the number of type A must not be more than 300 and the number of type B shirts must not be less than 80. Let x be the number of type A shirts and y be the number of type B shirts. If the profits were as follows: Type A Ksh 600 per shirt Type B Ksh 400 per shirt. Formulate a Linear Optimization Model, hence use the graphical method to determine the number of shirts of each type that should be made to maximize the profit.
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Maximum Labor-Hours Available per Day Department Fabricating Finishing Answer parts (A), (B), and (C) below. Trick Ski 6 1 Slalom Ski 4 1 (A) If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ The maximum occurs when trick skis and 216 42 slalom skis are produced.
An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…
3. In the following example, a cohort of six individuals was followed for 100 days after an outbreak of a viral infection in a hospital ward. The graph below shows how many days each subject remained in the study as a non-case (not infected). Those who completed the study as non-cases reached 100 days - the rest fell ill and did become cases. Since we know person-time is used to determine the amount of time at risk, calculate the total time contributed by all six subjects in this study. Note for submission: please make sure to include your units and interpretation in your Worksheet so you have it for review for the midterm, even if Blackboard doesn't allow for this information to be included in your submitted answer! Calculating Person-days F 64 E 100 D. 100 37 55 12 20 40 60 80 100 Days

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