A quality-control engineer inspects a random sample of 6 batteries from each lot of 24 car batteries ready to be shipped.If such a lot contains 8 batteries with slight defects, what are the probabilities that the inspector's sample will contain:a) 2 of the batteries with defects?b) 6 of the batteries with defects?

Answered: Image /qna-images/answer/445a3653-c7e4-4faf-b9f6-33ffa53039dd.jpg

Answered: A quality-control engineer inspects a…

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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Ninety percent of all sales personnel in national sales organization meet their sales quotas. What are the probabilities that in random sample of 12 salesperson: a) at most 9 salespersons meet their quotas b) from 8 to 10 salespersons meet their quotas
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For curing a certain engineering material, there are 7 standard treatments A, B, C, D, E, F & G. An engineer has the resources for conducting a comparative study of 7 of these treatments. If he chooses the 5 treatments for study at random, what is the probability that treatments A and C will be chosen?
Give 7 other examples of random variables.
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Suppose a population consists of 10 items, four of which are classified as defective and six of which are classified as non-defective. What is the probability that a random sample of size three will contain two defective items?
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?
The vast majority of European vehicles sold in the world (BMW, Audi, Mercedes- Benz, etc...) receive their transmissions from either ZF Friedrichshafen AG or Continental AG. After the acquisition of TRW by ZF, ZF AG supplied 69% of transmissions, and Continental AG supplied 31%. If three European cars are randomly selected, what is the probability that 2 of the cars use ZF transmissions and 1 use Continental AG transmission? Enter your answer in percent terms (for example 12.5% must be entered as 12.5).

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