A survey from the Department of Motor Vehicles was given to local residents in the city of Slothville. The results showed that 60% held a valid driver's license. Of the individuals who held a valid driver's license, 30% had at least one traffic violation whereas 20% who did not have a valid driver's license had at least one traffic violation. What is the probability that an individual does NOT have a traffic violation

Question

Mathematics

Enrique Foley

19 April, 22:57

A survey from the Department of Motor Vehicles was given to local residents in the city of Slothville. The results showed that 60% held a valid driver's license. Of the individuals who held a valid driver's license, 30% had at least one traffic violation whereas 20% who did not have a valid driver's license had at least one traffic violation. What is the probability that an individual does NOT have a traffic violation

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Answers (1)

Know the Answer?

Koen Jacobson · Answer 1

0.74

Step-by-step explanation:

Given that a survey from the Department of Motor Vehicles was given to local residents in the city of Slothville.

L = the event that the person has a driver licence and

L' = the event that person does not have a driver licence

P (L) = 0.60 and P (L') = 0.4

Out of L, 30% had atleast one traffic violation and out of L', 20% had atleast one traffic diversion.

Probability that an individual does not have a traffic violation

= Prob of L and no traffic violation + Prob of L' and no traffic violation

= 0.60 (1-0.30) + 0.40 (1-0.20)

=0.42+0.32

=0.74