Question

the data on the right represent the number of traffic fatalities by seat location and sex. determine p(female) and p(female|passenger). are the events \female\ and \passenger\ independent?
determine p(female).
p(female)=
(round to three decimal places as needed.)
male female total
passenger 32,827 11,749 44,576
driver 6,452 6,240 12,692
total 39,279 17,989 57,268

Explanation:

Step1: Recall probability formula

The probability of an event $A$, $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. To find $P(\text{female})$, the number of favorable outcomes is the total number of females and the total number of outcomes is the total number of people.

Step2: Identify values from the table

The total number of females is $17989$ and the total number of people is $57268$.

Step3: Calculate the probability

$P(\text{female})=\frac{17989}{57268}\approx 0.314$

Answer:

$0.314$