In a batch of 50 light bulbs, 5 are defective. Two are selected at random, without replacement, from the batch. Let A and B denote the events that the first and second light bulb selected is defective, respectively. 1. Are A and B independent events? Justify your answer. 2. If the sampling were done with replacement, would A and B be independent? Justify. Sample Space: A= B= ANB=
In a batch of 50 light bulbs, 5 are defective. Two are selected at random, without replacement, from the batch. Let A and B denote the events that the first and second light bulb selected is defective, respectively. 1. Are A and B independent events? Justify your answer. 2. If the sampling were done with replacement, would A and B be independent? Justify. Sample Space: A= B= ANB=
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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Transcribed Image Text:In a batch of 50 light bulbs, 5 are defective. Two are selected at random, without
replacement, from the batch. Let A and B denote the events that the first and
second light bulb selected is defective, respectively.
1. Are A and B independent events? Justify your answer.
2. If the sampling were done with replacement, would A and B be independent?
Justify.
Sample Space:
A=
B=
ANB=
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