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

## 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 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?

(c) What is the probability that the waiting time is less than 3 minutes?

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## Step by Step Answer:

**Related Book For**

## Applied Statistics And Probability For Engineers

**ISBN:** 9781118539712

6th Edition

**Authors:** Douglas C. Montgomery, George C. Runger

**Question Details**

Chapter #

**4**- Continuous Random Variables and Probability DistributionsSection: Exercises

Problem: 61

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