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Quality Control Check (Optional) Before a television set
Chapter 5, Problem 26CQ(choose chapter or problem)
Problem 26CQ
Quality Control Check (Optional) Before a television set leaves the factory, it is given a quality control check. The probability that a television contains 0, 1, or 2 defects is 0.88, 0.08, and 0.04, respectively. In a sample of 16 televisions, find the probability that 9 will have 0 defects, 4 will have 1 defect, and 3 will have 2 defects.
Questions & Answers
QUESTION:
Problem 26CQ
Quality Control Check (Optional) Before a television set leaves the factory, it is given a quality control check. The probability that a television contains 0, 1, or 2 defects is 0.88, 0.08, and 0.04, respectively. In a sample of 16 televisions, find the probability that 9 will have 0 defects, 4 will have 1 defect, and 3 will have 2 defects.
ANSWER:
Solution:
Step 1 of 2:
It is given that the quality check of televisions states that 0.88 is the probability that the television contains 0 defects,0.08 is the probability that the television contains 1 defect and 0.04 is the probability that the television contains 2 defects.
Also, it is given that a sample contains 16 televisions.We need to find the probability that in the sample 9 will contain 0 defects, 4 will contain 1 defect and 3 will have 2 defects.