Question

the following data represent a sample of the number of drivers involved in a fatal crash in 2020 in various light and weather conditions. complete parts (a) through (e)
click the icon to view the contingency table
(a) determine the probability that a randomly selected fatal crash in 2020 occurred in normal weather
the probability is 0.886
(round to three decimal places as needed.)
(b) determine the probability that a randomly selected fatal crash in 2020 occurred in daylight
the probability is 0.445
(round to three decimal places as needed.)
(c) determine the probability that a randomly selected fatal crash in 2020 occurred in normal weather and in daylight
the probability is
(round to three decimal places as needed.)
contingency table
light condition
weather daylight dark, but lighted dark dawn/dusk
normal 10,646 5,303 6,661 970
rain 1,041 782 806 112
snow/sleet 146 38 96 16

Explanation:

Step1: Calculate the total number of drivers

Add up all the values in the contingency table:

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Step2: Calculate the number of drivers in normal weather and daylight

From the table, the number of drivers in normal weather and daylight is \(n = 10646\)

Step3: Calculate the probability

The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), so \(P=\frac{10646}{26617}\approx0.400\)

Answer:

\(0.400\)