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Stacy’s fault-tolerant system only crashes if there are k = 10 consecutive failures. If every minute a failure occurs independently with probability p = 1 10, what is the expected number of minutes until Stacy’s system crashes. (Express generally in terms of k and p.) [Hint: Write a recurrence relation.]

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Stacy’s fault-tolerant system only crashes if there are k = 10 consecutive failures. If every minute...
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