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 unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk?
the probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately 0.039
(round to three decimal places as needed.)
(b) among fatal crashes when it is dawn/dusk, what is the probability that a randomly selected fatal crash occurs in unknown weather conditions?
the probability that a randomly selected fatal crash when it is dawn/dusk occurs in unknown weather conditions is approximately 0.051 (round to three decimal places as needed.)
(c) is the dark (without light) more dangerous in normal weather or in snow/sleet? explain. choose the correct choice below
a. the dark 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
b. the dark 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. the dark 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. the dark 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

Explanation:

Step1: Analyze conditional probability concept

Conditional probability helps determine the likelihood of an event given another event. For part (c), we compare conditional probabilities.

Step2: Evaluate each option

• Option A: Incorrect as it misstates the relationship.
• Option B: Incorrect reasoning.
• Option C: Correct. If the conditional probability of a fatal crash in normal weather (when dark) is greater than in snow/sleet (when dark), then dark is more dangerous in normal weather.
• Option D: Incorrect as a lower probability would mean less danger.

Answer:

C. The dark 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.