THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a furniture manufa
ID: 3363706 • Letter: T
Question
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a furniture manufacturing plant, a customer survey indicates that blemishes in the finish are a major concern. The table shown below displays a quality manager's probability assessment of the number of defects in the finish of new furniture.
Let event A be that there are more than two defects and let event B be that there are four or fewer defects. Which of the following statements is true?
A. P(A B) = 0.18
D. P(A B) = 0.07
Number of Defects 0 1 2 3 4 5 Probability 0.34 0.25 0.19 0.11 0.07 0.04Explanation / Answer
A. P(A B) = 0.18
P(A B) = P(more than 2 and less than or equal to 4 defects) = P(3) + P(4)
= 0.11 + 0.07
= 0.18
So, statement A is true.
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