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. (round to three decimal places as needed.) (b) among fatal crashes when it is dark (without light), what is the probability that a randomly selected fatal crash occurs in other weather conditions? the probability that a randomly selected fatal crash when it is dark (without light) occurs in other weather conditions is approximately 0.023. (round to three decimal places as needed.) (c) is dark, but lighted more dangerous in normal weather or in snow/sleet? explain. choose the correct choice below. a. dark, but lighted is more dangerous in normal weather because the conditional probability of a fatal crash in normal weather is less than that of a fatal crash in snow/sleet. b. dark, but lighted is more dangerous in snow/sleet because the conditional probability of a fatal crash in snow/sleet is greater than that of a fatal crash in normal weather. c. dark, but lighted is more dangerous in normal weather because the conditional probability of a fatal crash in normal weather is greater than that of a fatal crash in snow/sleet. d. dark, but lighted is more dangerous in snow/sleet because the conditional probability of a fatal crash in snow/sleet is less than that of a fatal crash in normal weather.

Explanation:

Step1: Understand conditional - probability concept

The more dangerous condition is the one with a higher conditional probability of a fatal crash.

Step2: Analyze the options

We need to compare the conditional probabilities of fatal crashes in normal weather and snow/sleet when it is dark but lighted. A higher conditional probability means a more dangerous condition.

Answer:

C. Dark, but lighted is more dangerous in normal weather because the conditional probability of a fatal crash in normal weather is greater than that of a fatal crash in snow/sleet.