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The time it takes for Marriott Marquis Chicago hotel guests to wait for an elevator is uniformly distributed between 45 seconds and 5.75 minutes. a)

The time it takes for Marriott Marquis Chicago hotel guests to wait for an elevator is uniformly distributed between 45 seconds and 5.75 minutes. a) What is the probability that a guest waits between 1.6 minutes and 5.5 minutes for an elevator? (Round to 3 decimal places.) 0.780 b) What is the variance of the wait times? (Round to 2 decimal places.) 2.08 c) 8% of the time, the wait time for an elevator is less than k minutes. Find k. (Round to 2 decimal places.) 1.15 minutes d) What is the probability that a guest waits more than 4 minute(s) for an elevator? (Round to 3 decimal places.) 0.350 e) What wait time is exceeded by only 12% of the elevator wait times? (Round to 2 decimal places.) minutes

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