A lot of 932 components contains 344 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. 1. What is the  P(A)? . 2. What is the P(B|A)? . 3. What is the  P(A and B)? . 4. Are A and B independent? Is it reasonable to treat A and  B as though they were independent? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 71POT
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A lot of 932 components contains 344 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

1. What is the  P(A)?

.

2. What is the P(B|A)?

.

3. What is the  P(A and B)?

.

4. Are A and B independent? Is it reasonable to treat A and  B as though they were independent? Explain.

 
 
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