Chapter 10.2, Problem 2E

Solution

a.

To find: The percentage of passengers who died.

The percentage of passengers who died is $62.2\%$ .

Given:

Fate of Titanic Passengers:

  $\begin{array}{cccc}\text{Ticket}\text{Class}& \text{Survived}& \text{Died}& \text{Total}\\ \text{First}\text{Class}& 202& 123& 325\\ \text{Second}\text{Class}& 118& 167& 285\\ \text{Third}\text{Class}& 178& 528& 706\\ \text{Total}& 498& 818& 1316\end{array}$

Calculation:

The percentage of passengers who died is passengers is passengers who died over all passengers.

In the table,

Passengers who died $=818$

And total number of passengers $=1316$

  $\begin{array}{c}\text{The percentage of passengers who died =}\frac{818}{1316}\\ =0.6215\\ \approx 0.622\end{array}$

Conclusion:

The percentage of passengers who died is $62.2\%$ .

b.

To find: The percentage of people were first-class ticket holders who died.

The percentage of people were first-class ticket holders who died is $9.35\%$ .

Given:

Fate of Titanic Passengers:

  $\begin{array}{cccc}\text{Ticket}\text{Class}& \text{Survived}& \text{Died}& \text{Total}\\ \text{First}\text{Class}& 202& 123& 325\\ \text{Second}\text{Class}& 118& 167& 285\\ \text{Third}\text{Class}& 178& 528& 706\\ \text{Total}& 498& 818& 1316\end{array}$

Calculation:

The percentage of people were first-class ticket holders who died is number of passengers who died are in first class over the total number of passengers.

In the table:

Number of passengers who died are in first class = $123$

And total number of passengers $=1316$

  $\begin{array}{c}\text{The percentage of people were first-class ticket holders who died=}\frac{123}{1316}\\ =0.09346\\ \approx 0.0935\end{array}$

Conclusion:

The percentage of people were first-class ticket holders who died is $9.35\%$ .

c.

To find: The percentage of the passengers who died had first-class tickets.

The percentage of the passengers who died had first-class tickets.is $15\%$ .

Given:

Fate of Titanic Passengers:

  $\begin{array}{cccc}\text{Ticket}\text{Class}& \text{Survived}& \text{Died}& \text{Total}\\ \text{First}\text{Class}& 202& 123& 325\\ \text{Second}\text{Class}& 118& 167& 285\\ \text{Third}\text{Class}& 178& 528& 706\\ \text{Total}& 498& 818& 1316\end{array}$

Calculation:

The percentage of the passengers who died had first-class tickets.is first class passengers who died over all passengers who died.

In the table:

First class passengers who died is $=123$

And all passengers who died is $=818$

  $\begin{array}{c}\text{The percentage of the passengers who died had first-class tickets=}\frac{123}{818}\\ =0.1503\\ \approx 0.15\end{array}$

Conclusion:

The percentage of the passengers who died had first-class tickets.is $15\%$ .

d.

The percentage of the first-class passengers died.

The percentage of the first-class passengers died is $37.8\%$ .

Given:

Fate of Titanic Passengers:

  $\begin{array}{cccc}\text{Ticket}\text{Class}& \text{Survived}& \text{Died}& \text{Total}\\ \text{First}\text{Class}& 202& 123& 325\\ \text{Second}\text{Class}& 118& 167& 285\\ \text{Third}\text{Class}& 178& 528& 706\\ \text{Total}& 498& 818& 1316\end{array}$

Calculation:

The percentage of the first-class passengers died is first class passengers who dies over total number of passengers in first class.

First class passengers who dies $=123$

Total number of passengers in first class $=325$

  $\begin{array}{c}\text{The percentage of the first-class passengers died=}\frac{123}{325}\\ =0.3784\\ \approx 0.378\end{array}$

Conclusion:

The percentage of the first-class passengers died is $37.8\%$ .