Suppose that 8.8% of the AI machines manufactured by York Inc. have at least one technicalissue. A random sample of twelve such machines is drawn. Given that fewer than 3 such machineshave at least one technical issue, what is the probability that at most one machine has at least onetechnical issue.

To find the probability that at most one machine has at least one technical issue: Given that…

Answered: mple of twelve such machines is drawn.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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25 icosahedra (like dice but with 20 faces rather than 6) are rolled. What is the probability of getting exactly three 20s, three 18s, two 15s, and one 13?
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Ex.1 (on Probability handout) An electronic shop receives a box of 100 electronic devices of which 10 devices have type A defect, 8 devices have type B defect and 3 devices have both type A and B defects. If a device is picked at random from the box (so that each one of the 100 devices has an equal chance of being picked), find a) the sample space for the experiment b) the probability that the device picked has a type A defect c) the probability that the device picked has a type B defect d) the probability that the device picked has both types of defects e) the probability that the device picked has a defect f) the probability that the device picked is free of defects
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10. Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 450 stereos are purchased and 4% are found to be defective. From Company B, 200 stereos are purchased and 6% are found to be defective. Given that a stereo is defecțive, find the probability that it came from Company A Beyesi PAR) 9 OA. 10 4 O B. 15 PCAB) P(AS. ACBIA) AB) C. OD. PIAS = Company A P(B)= Defectin 30 we are going touse a tal tofilout %3D Company AlB total Defecha PlB)= 650 = 0.004 6 probubitis Buyes (18)12 30 Nt 18 400 30 PA) = = 0.654 650 400 %3D 432188620 Thai Igoo 20 650/ -0,6154 =0,383%6 PA)=, =|-Oib154=0,3846 GPLAIB) = -06 18 18 :30 650 650 3 18 650 30 =0.6 30 https://xlitemprod.pearsoncmg.com/api/v1/print/math O.045 18 50 18 Teso 30 30 2/3
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4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that a) the first sandwich selected will be one of his choices? b) neither of the first two sandwiches will be among Wyatt's choices? 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as questions on the final examination. What is the probability that a) neither of the proofs on the examination will be among those Petra mastered? b) at least one of the mastered proofs will appear on the examination? 6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes? 7.…
2. A group of three undergraduate and six graduate students are available to fill certain student government posts. If four students are randomly chosen from this group, find the probability that exactly two undergraduates will be among the four chosen. [Hint: How many ways are there to fill the posts? How many ways satisfy the condition of having exactly TWO undergraduates selected AND hav- ing exactly two graduates selected?]

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mple of twelve such machines is drawn. Given that fewer than 3 such machin chnical issue, what is the probability that at most one machine has at least o