An Apple smartwatch has an expected lifespan of 1460 days. The lifespan of this type of clock can be assumed to follow an exponential distribution. a) What is the probability that the smartwatch works for at least 1200 days but at most 1500 days? b) Alex has had his smartwatch for 1460 days. What is the probability that the smartwatch works after 1560 days, given that it works after 1460 d

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An Apple smartwatch has an expected lifespan of 1460 days. The lifespan of

this type of clock can be assumed to follow an exponential distribution.

  

a) What is the probability that the smartwatch works for at least 1200 days but at most 1500 days?

 

b) Alex has had his smartwatch for 1460 days. What is the probability that the smartwatch works

after 1560 days, given that it works after 1460 days?

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