The waiting time at an elevator is uniformly distributed between 30 and 200 seconds.Find the mean and standard deviation of the waiting time. A) 115 seconds and 49.07 seconds B) 1.15 minutes and 0.4907 minutes C) 1.15 minutes and 24.08333 (minute)² D) 115 seconds and 2408.3333 (second)²

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Quizplus · Accepted Answer

For a uniform distribution, the mean is the average of the minimum and maximum values, which is (30 + 200) / 2 = 115 seconds. The standard deviation is calculated using the formula (b-a)/√12, where a and b are the minimum and maximum values, respectively. This gives (200-30)/√12 ≈ 49.07 seconds.

The Waiting Time at an Elevator Is Uniformly Distributed Between