QUESTION 2A factory has three assembly lines, with the first line producing 10% of the product, the second line producing 27% of the product, and the third line producing theremainder. The first line produces defective parts 2% of the time, the second line produces defective parts 3% of the time, and the third line produces defective parts 4%of the time. What is the probability that a part made at this factory is defective?

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Answered: QUESTION 2 A factory has three assembly…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 30%, 40%, and 30% of the students. The failure rate of students is 4%, 3%, and 6%, respectively. Given that a student passes, what is the probability that he or she came from school I?
A chemical compound contains 3 particles of a reactant and 6 particles of a catalyst. Particles are removed from the compound at random, and after the removed particle is examined, it is returned back to the chemical compound together with an additional particle of the same type. We call this process of removal/return a "reaction". (a) Assume there are two consecutive reactions. Compute the probability that the first and the second removed particle is a reactant. (b) Compute the probability that at least one of the two removed particles is a reactant. (c) Assume now a third consecutive reaction occurs. Compute the probability that the third removed particle is a catalyst, given that exactly one of the first two is a reactant.
Question 3. Suppose there is a 24.50% chance each child will get influenza, whereas in 13.50% of two-child families both children get the disease. What is the probability that at least one child will get influenza? O a. 0.3550 O b.0.06 O c. 0.49 O d. 0.11
(Devore: Section 2.4 #59) At a certain gas station, 40% of the customers use regular gas (A₁), 35% use plus gas (A₂), and 25% use premium A3. Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request plus gas and fill the tank (A₂B)? (b) What is the probability that the next customer fills the tank? (c) If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
Problem (2): TV or a DVR? A consumer electronics company has observed that 36% of their customers purchased an LED screen television, 26% of their customers purchases a DVR, and 12 percent of their customers purchased both an LED screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the six chambers between each shot, what is the probability he doesn't shoot himself either time?
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.

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