Chapter 14, Problem 1P

a)

Summary Introduction

To simulate: The emergency calls for 3 days using the random number.

Explanation of Solution

Given information:

In addition to this, it is given that the squad is on duty for 24 hours each day and all days in a week.

Simulate the emergency calls for 3 days using the random number:

Formulae to determine the above table:

b)

Summary Introduction

To compute: The average time between calls and the expected value of the time.

Explanation of Solution

Given information:

In addition to this, it is given that the squad is on duty for 24 hours each day and all days in a week.

Compute the average time between calls and the expected value of the time:

Formulae to determine the above table:

Hence, the average time is 3.79 and the expected value (EV) is 3.65 (the values might differ as the random number differs).

c)

Summary Introduction

To determine: The number of calls made during the 3-day period.

Explanation of Solution

Given information:

In addition to this, it is given that the squad is on duty for 24 hours each day and all days in a week.

Determine the number of calls to be made during the 3-day period:

$\begin{array}{c}\begin{array}{l}\text{Number of calls made}\\ \text{during 3-day period}\end{array}\}=\frac{\text{Total time}}{\text{EV}}\\ =\frac{72}{3.65}\\ =19.72~20\text{ calls}\end{array}$

Hence, the number of calls made during 3-day period is 20 (the values might differ as the random number differs).