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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 2.6 / Problem 145E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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A batch of 500 containers of frozen orange juice contains

Chapter 2, Problem 145E

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QUESTION: Problem 145E

A batch of 500 containers of frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second containers selected are defective, respectively.

(a) Are A and B independent events?

(b) If the sampling were done with replacement, would A and B be independent?

Questions & Answers

QUESTION: Problem 145E

A batch of 500 containers of frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second containers selected are defective, respectively.

(a) Are A and B independent events?

(b) If the sampling were done with replacement, would A and B be independent?

ANSWER:

Solution:

Step 1 of 3:

We have 5 defectives in 500 containers of frozen orange juice.

Let A and B are the two events selected at random without replacement, A will be the first event selected defectives and B be the second event selected defectives.

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