Problem

Suppose the data to the right represent the survival data for the a certain ship that sank. The $\begin{array}{lll}\text { Survived } & 243 \quad 396\end{array}$ 79 718 males are adult males and the Died 1,099 72 $53 \quad 1,224$ females are Male Female Child Total adult females. Complete parts (a) Total $\quad 1,342$ 468 132 1,942 through (j). (h) If a male passenger is selected at random, what is the probability that he survived? (Round to three decimal places as needed.)

Solution

Step 1 :Given the data, we know that the number of males who survived is 243 and the total number of males is 1,342.

Step 2 :The question is asking for the probability that a male passenger survived. To calculate this, we need to divide the number of males who survived by the total number of males.

Step 3 :Using the formula for probability, which is \(\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}\), we get \(\frac{243}{1342}\).

Step 4 :Calculating the above expression, we get approximately 0.1810730253353204.

Step 5 :Rounding to three decimal places as needed, we get 0.181.

Step 6 :Final Answer: The probability that a male passenger survived is approximately \(\boxed{0.181}\).

From Solvely APP
Source: https://solvelyapp.com/problems/18362/

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