4.74 Conditional probabilities and independence. Using the information in Exercise 4.73, answer these questions. (a) Given that a vehicle is imported, what is the conditional probability that it is a light truck? (b) Are the events “vehicle is a light truck’’ and “vehicle is imported’’ independent? Justify your answer.

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ANSWER 4.74

4.73

 

 

Domeestic (B)

Imported (B)

 

Cars (A)

23

8

31

Light Trucks ()

55

14

69

 

70

22

100

 

  1. P (Vehicle is a light truck) = P () = 0.69
  2. P (Vehicle is an imported car) = P (AnB) = 8/100=0.08

 

4.74 Conditional probabilities and independence.

Using the information in Exercise 4.73, answer these

questions.

(a) Given that a vehicle is imported, what is the

conditional probability that it is a light truck?

(b) Are the events “vehicle is a light truck’’ and “vehicle

is imported’’ independent? Justify your answer.

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