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In a recent News, it was reported that light trucks, which include SUV’s , pick-up trucks and minivans, accounted for 40% of all personal vehicles on the road in 2012. Assume the rest are cars. Of every 100,000 cars accidents, 20 involve a fatality; of every 100,000 light trucks accidents, 25 involve a fatality. If a fatal accident is chosen at random, what is the probability the accident involved a light truck?​

Respuesta :

mhanifa

Answer:

  • 45.45%

Step-by-step explanation:

  • Light tracks = 40% = 0.4
  • Cars = 60% = 0.6

Fatal accidents involving light tracks:

  • 25/100000 = 0.00025

Fatal accidents involving cars:

  • 20/100000 = 0.0002

Probability of a fatal accident involving a light track:

  • p = involving light tracks /involving both cars and light tracks
  • p = 0.4*0.00025/(0.4*0.00025 + 0.6*0.0002) = 0.4545
  • p = 45.45%

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