Suppose that the probability that a particular computer chip fails after t= a hours of operation is 0.00002 - 0.00002t dt. a a. Find the probability that the computer chip fails after 19,000 hr of operation (that is, the chip lasts at least 19,000 hr). b. Of the chips that are still in operation after 19,000 hr, what fraction of these will operate for at least another 19,000 hr? 00 c. Evaluate 0.00002 - 0.00002t dt and interpret its meaning. e

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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00
Suppose that the probability that a particular computer chip fails after t= a hours of operation is 0.00002
- 0.00002t dt.
e
a
a. Find the probability that the computer chip fails after 19,000 hr of operation (that is, the chip lasts at least 19,000 hr).
b. Of the chips that are still in operation after 19,000 hr, what fraction of these will operate for at least another 19,000 hr?
00
c. Evaluate 0.00002
- 0.00002t dt and interpret its meaning.
e
a. The probability that the chip fails after 19,000 hr of operation is
(Round to three decimal places as needed.)
b. The fraction that will still be operating for at least another 19,000 hr is
(Round to three decimal places as needed.)
c. Choose the correct answer below.
A. The probability that the chip fails immediately is 0.00002
- 0.00002t dt =
B. The probability that the chip eventually fails is 0.00002
- 0.00002t dt =
e
C. The probability that the chip never fails is 0.00002
0.00002t dt =
e
D. There is not enough information to interpret this interval.
Transcribed Image Text:00 Suppose that the probability that a particular computer chip fails after t= a hours of operation is 0.00002 - 0.00002t dt. e a a. Find the probability that the computer chip fails after 19,000 hr of operation (that is, the chip lasts at least 19,000 hr). b. Of the chips that are still in operation after 19,000 hr, what fraction of these will operate for at least another 19,000 hr? 00 c. Evaluate 0.00002 - 0.00002t dt and interpret its meaning. e a. The probability that the chip fails after 19,000 hr of operation is (Round to three decimal places as needed.) b. The fraction that will still be operating for at least another 19,000 hr is (Round to three decimal places as needed.) c. Choose the correct answer below. A. The probability that the chip fails immediately is 0.00002 - 0.00002t dt = B. The probability that the chip eventually fails is 0.00002 - 0.00002t dt = e C. The probability that the chip never fails is 0.00002 0.00002t dt = e D. There is not enough information to interpret this interval.
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