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Solve the Problem. -Computer Experts Warn That Writable Compact Disks Such as CD-Rs

Question 22

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Solve the problem.
-Computer experts warn that writable compact disks such as CD-Rs (Compact Disc-Recordable) and CD-RWs
(Compact Disc-ReWriteable) have much shorter lifespans than other digital storage methods such as hard
drives or magnetic tape. The time until the disc becomes unreadable for a particular brand of CD-RWs is a
continuous random variable with probability density function given by the following function. Round to two decimal
places. Solve the problem. -Computer experts warn that writable compact disks such as CD-Rs (Compact Disc-Recordable) and CD-RWs (Compact Disc-ReWriteable) have much shorter lifespans than other digital storage methods such as hard drives or magnetic tape. The time until the disc becomes unreadable for a particular brand of CD-RWs is a continuous random variable with probability density function given by the following function. Round to two decimal places.   (A) What is the probability that a disc is not readable after 25 years? (B) What is the probability that the disc is readable after 10 years? (C) If the user wants the probability that the disc is readable to be 0.9, when is the last time it should be read? (A) What is the probability that a disc is not readable after 25 years?
(B) What is the probability that the disc is readable after 10 years?
(C) If the user wants the probability that the disc is readable to be 0.9, when is the last time it should be read?

Correct Answer:

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(A) 0.82 (...

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