Example 14.13: Suppose a manufacturing company producing high-quality gadgets is interested in doing some quality contro

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Example 14.13: Suppose a manufacturing company producing high-quality gadgets is interested in doing some quality contro

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Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 1
Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 1 (23.85 KiB) Viewed 56 times
Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 2
Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 2 (30.79 KiB) Viewed 56 times
Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 3
Example 14 13 Suppose A Manufacturing Company Producing High Quality Gadgets Is Interested In Doing Some Quality Contro 3 (29.1 KiB) Viewed 56 times
Example 14.13: Suppose a manufacturing company producing high-quality gadgets is interested in doing some quality control. Three gadgets are selected from the day's production and inspected. Each gadget is determined to be good-to-go (G) or bad with some defect (B). Suppose quality control is interested in finding the probability that at least one of the selected gadgets is good. From previous data, they believe the probability any single selected gadget is bad is 0.10. *Disclaimer: if you land a job as a quality control analyst, you may want to select more than three gadgets to inspect. We kept the sample size small for this problem to keep the calculations simple.
Learn by Doing Refer to Example 14.13. What is the probability that all three gadgets are bad. Recall that the problem says that the probability of any single gadget being bad is 0.1. Using probability notation we can write this as P(B) = 1. This problem is asking for P(BBB) or more explicitly, P(first gadget bad AND second gadget bad AND third gadget bad). Write as a decimal to THREE decimal places. * Unfortunately, you entered an incorrect value. P(all three bad) = P(first gadget bad AND second gadget bad AND third gadget bad). From earlier on this page, what rule can be used when the word "AND" appears in a probability statement? If you believe you have used that rule correctly, check for calculation errors. Try again. Previous Next
Learn by Doing Refer to Example 14.13. What is the probability that the first gadget selected is bad and the next two selected are good? Write your answer to THREE decimal places. * Unfortunately, you entered an incorrect value. P(BGG)= P(first gadget bad AND second gadget good AND third gadget good). From earlier on this page, what rule can be used when the word "AND" appears in a probability statement? If you believe you have used that rule correctly, check for calculation errors. Since we know that the probability of a gadget being bad is 0.1, we can use the Compliment Rule to find the probability of the gadget being good P(G) 1-P(B)-1-0.1 -0.9. You will need this value in your calculations. Try again. Previous Next
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