Question

the following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. complete parts (a) through (c) below. click the icon to view the data for fatal crashes in 2016. (a) among fatal crashes in other weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dark (without light)? the probability that a randomly selected fatal crash in other weather conditions occurs when it is dark (without light) is approximately . (round to three decimal places as needed.) data table light conditions weather daylight dark, but lighted dark dawn/dusk other normal 14,307 5875 8151 1183 65 rain 875 497 681 87 8 snow/sleet 219 51 156 17 2 other 125 54 220 40 9 unknown 810 255 548 71 133

Explanation:

Step1: Calculate total fatal crashes in other weather conditions

Add up the values in the "Other" weather - row: $125 + 54+220 + 40+9=448$

Step2: Calculate the number of fatal crashes in other weather conditions when it is dark

The value corresponding to "Other" weather and "Dark" light - condition is 220.

Step3: Calculate the probability

The probability $P$ is the number of favorable outcomes (fatal crashes in other weather conditions when it is dark) divided by the number of total outcomes (total fatal crashes in other weather conditions). So $P=\frac{220}{448}\approx0.491$

Answer:

$0.491$