Chapter 5.3, Problem 69E

To determine

To check: whether the events “D” and “F” are independent.

Answer to Problem 69E

Yes, not independent.

Explanation of Solution

Given:

The two-way table gives information about adult passenger who lives and who died.

Consider event D is democrat, even R is republic, F is female.

	Male	Female
Democrats	47	13
Republics	36	4

Calculation:

From part (a) and part (b) in exercise 67,

  $P\left(D|F\right)=\frac{13}{17}\approx 0.7647$

  $P\left(D\right)=\frac{60}{100}\approx 0.6$ .

There probability should be identical, D and F are independent.

Thus, they are not independent.