Final answer:
The maximum guaranteed wait time for an elevator in the multi-floor hotel can be determined using the information provided. The maximum guaranteed wait time is equal to the range of the distribution plus 2 minutes.
Step-by-step explanation:
The maximum guaranteed wait time for an elevator in the multi-floor hotel can be determined using the information provided. The shortest wait time is given as 2 minutes. To find the maximum guaranteed wait time, we need to consider the distribution of wait times. Since the wait time follows a uniform distribution, we know that the maximum wait time is equal to the difference between the shortest wait time and the range of the distribution. In this case, the range is the maximum possible wait time minus the shortest wait time. Therefore, the maximum guaranteed wait time is equal to the range plus 2 minutes.
Let's say the maximum possible wait time for an elevator is denoted by 'x'. The range is then calculated as:
Range = Maximum possible wait time - Shortest wait time = x - 2
Therefore, the maximum guaranteed wait time is:
Maximum guaranteed wait time = Range + 2 = (x - 2) + 2 = x