Problem

The data on the right represent the number of traffic fatalities by seat location and gender. Determine $\mathrm{P}$ (male) and $\mathrm{P}$ (male/passenger). Are the events "male" and "passenger" independent?
\begin{tabular}{|l|c|cc|}
& Female & Male & Total \\
\hline Passenger & 32,927 & 11,843 & 44,770 \\
\hline Driver & 6,531 & 6,395 & 12,926 \\
\hline Total & 39,458 & 18,238 & 57,696
\end{tabular}

Determine $\mathrm{P}$ (male)
$P($ male $)=$
(Round to three decimal places as needed.)

Answer

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Answer

Rounding to three decimal places, we get \(\boxed{0.316}\).

Steps

Step 1 :The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is 'male' and the total number of outcomes is the total number of people, which is 57,696. The number of ways the event can occur is the total number of males, which is 18,238.

Step 2 :So, the probability of a person being male is calculated as follows: \(\frac{18238}{57696}\).

Step 3 :Using a calculator, we find that the probability is approximately 0.3161051026067665.

Step 4 :Rounding to three decimal places, we get \(\boxed{0.316}\).

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