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Solution: Samples of a cast aluminum part are classified on
Chapter 2, Problem 196SE(choose chapter or problem)
Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and length measurements. The results of 100 parts are summarized as follows:
Let 𝐴 denote the event that a sample has excellent surface finish, and let 𝐵 denote the event that a sample has excellent length. Are events 𝐴 and 𝐵 independent?
Questions & Answers
QUESTION:
Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and length measurements. The results of 100 parts are summarized as follows:
Let 𝐴 denote the event that a sample has excellent surface finish, and let 𝐵 denote the event that a sample has excellent length. Are events 𝐴 and 𝐵 independent?
ANSWER:
Solution:
Step 1 of 2:
Here the summarized data regarding surface finish and length measurements of 100 cast aluminum parts are given.
Length | |||
|
Surface finish |
Excellent |
Good |
|
Excellent |
80 |
2 |
|
Good |
10 |
8 |
|
Also, it is given that A denotes the event that the sample has excellent surface finish and B denotes the event that the sample has excellent length.
Using this we need to check whether A and B are independent or not.