The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents.
Pedestrian Deaths
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 48 72
No 252 614
If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated but the pedestrian was.
To find the probability that the driver was not intoxicated but the pedestrian was, we need to determine the number of deaths where the driver was not intoxicated but the pedestrian was, and divide it by the total number of deaths.
From the table, we can see that in the case where the driver was not intoxicated and the pedestrian was intoxicated, the number is 72.
To find the total number of deaths, we need to sum up all the values in the table. Adding all the numbers in the table gives us:
48 + 72 + 252 + 614 = 986.
So, the total number of deaths is 986.
Now, we can find the probability by dividing the number of deaths where the driver was not intoxicated but the pedestrian was (72) by the total number of deaths (986):
Probability = Number of deaths where driver was not intoxicated but pedestrian was / Total number of deaths
= 72 / 986.
Therefore, the probability that the driver was not intoxicated but the pedestrian was is 72 / 986, which is approximately 0.0732 or 7.32%.