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ID: 3350194 • Letter: B
Question
bility Mode] Search in AaBbcDdEe AaBbcDdEe AaBbCcD AaBbCcDdEAaBb No Spacing Heading 1 Heading 2 Normal Title 2-81. A manufacturer of front lights for automobiles tests lamps under a high-humidity, high-temperature environment using intensity and useful life as the responses of interest. The following table shows the performance of 130 lamps: useful life satisfactory unsatisfactory intensity satisfactory 3 unsatisfactory 8 (a) Find the probability that a randomly selected lamp will yield unsatisfactory results under any criteria. (b) The customers for these lamps demand 95% satisfactory results. Can the lamp manufacturer meet this demand?Explanation / Answer
a) P(Unsatisfactory results under any criteria)
= 1 - P(Result is satisfactory in both criterias)
= 1 - 117/130
= 13/130
= 1/10
= 0.10
b) Assuming satisfactory results occur only when the lamp resulted satisfactory in both intensity and useful life,
P(Satisfactory results) = 117/130 = 0.90
Since the probability of satisfactory results are less than 0.95, it is not meeting the customer's target of having 95% satisfactory results.
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