Question: A beacon transmits a signal every 10 minutes (such as 8:20, 8:30, etc.). The time at which a receiver is tuned to detect the beacon

A beacon transmits a signal every 10 minutes (such as 8:20, 8:30, etc.). The time at which a receiver is tuned to detect the beacon is a continuous uniform distribution from 8:00 a.m. to 9:00 a.m. Consider the waiting time until the next signal from the beacon is received.

(a) Is it reasonable to model the waiting time as a continuous uniform distribution? Explain.

(b) What is the mean waiting time?

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