Question

In: Statistics and Probability

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] 

(C) Pr[car accidentſintoxicated] 

(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

  


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