Problem

Suppose the data to the right represent the survival data for the a certain ship Survived 232 61 647 that sank. The males are adult males and the Died 1,081 85 52 1,218 females are adult females. Complete parts (a) Total 1,313 439 113 1,865 through (j). (a) If a passenger is selected at random, what is the probability that the passenger survived? (Round to three decimal places as needed.)

Solution

Step 1 :Given that the number of passengers who survived is 232 and the total number of passengers is 1865.

Step 2 :To find the probability that a passenger survived, we need to divide the number of passengers who survived by the total number of passengers.

Step 3 :Using the formula for probability, \(P(A) = \frac{n(A)}{n(S)}\), where \(n(A)\) is the number of successful outcomes and \(n(S)\) is the total number of outcomes.

Step 4 :Substituting the given values into the formula, we get \(P(A) = \frac{232}{1865}\).

Step 5 :Calculating the above expression, we get \(P(A) = 0.12439678284182305\).

Step 6 :Rounding to three decimal places as needed, we get \(P(A) = 0.124\).

Step 7 :Final Answer: The probability that a passenger survived is approximately \(\boxed{0.124}\).

From Solvely APP
Source: https://solvelyapp.com/problems/18352/

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