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The table shows the probabilities of a response of chocolate or vanilla when asking a child or adult. Use the formula for conditional probability to determine independence.

a. Are the events "Chocolate" and "Adults" independent? Why or why not?

b. Are the events "Children" and "Chocolate" independent? Why or why not?

c. Are the events "Vanilla" and "Children" independent? Why or why not?

 Jun 10, 2019
 #1
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a. Are the events "Chocolate" and "Adults" independent? Why or why not?

 

If independent.... P (Chocolate l Adult )  = P(Chocolate and Adult) /P(Chocolate)

                                      .21/ (.21 + .39 + .60)  =  .21/ .35  ???

                                       .21   =  .60   ????    not independent

 

b. Are the events "Children" and "Chocolate" independent? Why or why not?

 

P(Children l Chocolate)  =  P(Children and Chocolate) / P(Children)  ???

                        .14/ (.14+ .21+ .35)     =   .14 / .40  ???

                         .20  = .35  ???   not independent

 

c. Are the events "Vanilla" and "Children" independent? Why or why not?

 

P(Vanilla l Children)  = P(Vanilla and Children) / P(Vanilla)      ???    

      .26 / (   .14 + .26 + .40)  =  .26 / .65    ???

                  .325 = .40 ???    not independent

 

 

cool cool cool

 
 Jun 10, 2019
 #2
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Thank you

 
Guest Jun 10, 2019

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