Assume that on a typical Saturday evening, 5% of all drivers are intoxicated, and the probability that an intoxicated driver is involved in a car accident is 0.2.

Assume that on a typical Saturday evening, 5% of all drivers are intoxicated, and the probability that an intoxicated driver is involved in a car accident is 0.2. Police estimate that of all car trips on a Saturday evening end with an accident. (Please note 2% = 0.02)

a. The number 0.2 corresponds to which probability?

(A) Pr[car accident and intoxicated]

(B) Pr[car accident or intoxicated]

(D) Pr[car accident and not intoxicated] (E) Pr[intoxicated car accident]

b. What is the probability a driver is intoxicated and involved in a car accident?

c. What is the probability that a driver is not involved in a car accident?

d. What is the probability that a driver involved in a car accident is intoxicated?

Solutions

Expert Solution

2. Given that the probability of an intoxicated driver involved in a accident is 0.2 ,

a] so the number 0.2 corresponds to

b] the probability that a driver is intoxicated and met with an accident is

c] probability that a driver is not involved in car accident is

d] the probability that a driver involved in a car accident is intoxicated is

orchestra answered 1 year ago

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