Suppose the data to the right represent Male Female Child Total the survival data for the a certain ship Survived 243 79 718 that sank. The males are adult males and the Died $\quad 1,099$ 72 53 1,224 females are adult females. Complete parts (a) Total $\quad 1,342$ 468 132 1,942 through (j). (f) If a female passenger is selected at random, what is the probability that she survived? (Round to three decimal places as needed.)

Step 1 ：Let's denote the number of female passengers who survived as 'female_survived' and the total number of female passengers as 'total_female'.

Step 2 ：Given that 'female_survived' = 79 and 'total_female' = 468.

Step 3 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.

Step 4 ：In this case, the event is a female passenger surviving, and the total number of outcomes is the total number of female passengers.

Step 5 ：So, we need to divide 'female_survived' by 'total_female'.

Step 6 ：\(probability\_female\_survived = \frac{female\_survived}{total\_female} = \frac{79}{468} = 0.16880341880341881\)

Step 7 ：Rounding to three decimal places, we get \(probability\_female\_survived = 0.169\)

Step 8 ：Final Answer: The probability that a female passenger selected at random survived is \(\boxed{0.169}\).