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A building has two elevators, an express elevator and a standard elevator. Let X be the number of passengers using the express elevator every hour, and let Y be the number of passengers using the standard elevator every hour. Assuming that μX = 55 and μY = 32, what is the mean of Z, the total number of passengers using the elevators each hour?

Question

A building has two elevators, an express elevator and a standard elevator. Let X be the number of passengers using the express elevator every hour, and let Y be the number of passengers using the standard elevator every hour. Assuming that μX = 55 and μY = 32, what is the mean of Z, the total number of passengers using the elevators each hour?

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Solution

The mean of Z, the total number of passengers using the elevators each hour, is the sum of the means of X and Y.

So, μZ = μX + μY

Substituting the given values, we get:

μZ = 55 + 32 = 87

So, the mean number of passengers using the elevators each hour is 87.

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