27. Alarm Clock - Redundancy: You have two alarm clocks. The first one is successful 95% of the time and the second one is successful 60% of the time (it turns out your second one was actually less reliable than the first). (a) Suppose you only remember to set the good alarm clock. What is the probability that it will succeed on the morning of an important exam? (b) Suppose you' aset both alarm clocks. What is the probability that at least one of them is successful on the morning of an important exam? (e) This practice of using a second device is called redundancy. Was there a significant increase in the probability of getting to the exam obtained using the second alarm clock?

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27. Alarm Clock - Redundancy: You have two alarm clocks. The first one is successful 95% of the time
and the second one is successful 60% of the time (it turns out your second one was actually less reliable
than the first).
(a) Suppose you only remember to set the good alarm clock. What is the probability that it will
succeed on the morning of an important exam?
(b) Suppose you set both alarm clocks. What is the probability that at least one of them is successful
on the morning of an important exam?
(c) This practice of using a second device is called redundancy. Was there a significant increase in
the probability of getting to the exam obtained using the second alarm clock?
Transcribed Image Text:Q Search 27. Alarm Clock - Redundancy: You have two alarm clocks. The first one is successful 95% of the time and the second one is successful 60% of the time (it turns out your second one was actually less reliable than the first). (a) Suppose you only remember to set the good alarm clock. What is the probability that it will succeed on the morning of an important exam? (b) Suppose you set both alarm clocks. What is the probability that at least one of them is successful on the morning of an important exam? (c) This practice of using a second device is called redundancy. Was there a significant increase in the probability of getting to the exam obtained using the second alarm clock?
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