Carbon-14, a radioactive isotope of carbon, decays at a rate of 14 disintegrations per minute (per gram of natural carbon). Assuming that the time between disintegration events has an exponential distribution, calculate the probability that such an event takes more than 12 seconds to occur. Round your answer to four decimal digits and do not include units in your answer.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Carbon-14, a radioactive isotope of carbon, decays at a rate of 14 disintegrations per minute (per gram of natural carbon).
Assuming that the time between disintegration events has an exponential distribution, calculate the probability that such an
event takes more than 12 seconds to occur. Round your answer to four decimal digits and do not include units in your
answer.
Transcribed Image Text:Carbon-14, a radioactive isotope of carbon, decays at a rate of 14 disintegrations per minute (per gram of natural carbon). Assuming that the time between disintegration events has an exponential distribution, calculate the probability that such an event takes more than 12 seconds to occur. Round your answer to four decimal digits and do not include units in your answer.
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