Are events involved mutually exclusive

Reference no: EM13109392

Mothers Against Drunk Driving is very visible group whose main focus is to learn public about harm caused by drunk drivers. Study was recently done that emphasized problem we all face with drinking and driving. Four hundred accidents which happened on Saturday night were analyzed. Two items noted were number of vehicles involved and whether alcohol played role in accident. The numbers are given below:

Number of Vehicles Involved
Did alcohol play a role? 1 2 3 Total
Yes 50 100 20 170
No 25 175 30 230
Total 75 275 50 400

(a) Determine the most likely outcome?
(b) Determine the probability that accident involved more than one vehicle?
(c) Determine the probability that accident involved alcohol or a single vehicle?
(d) Determine the probability that accident did NOT involve alcohol and 2 or more vehicles were involved?
(e) Given that alcohol was involved, what proportion of accidents involved single vehicle?
(f) Are events "alcohol involved" and "2 or more vehicles involved" independent? Describe your reasoning.
(g) Are events "alcohol involved" and "2 or more vehicles involved" mutually exclusive? Describe your reasoning.
(h) Write down 2 mutually exclusive events from above scenario.

Reference no: EM13109392

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