+0  
 
0
35
1
avatar
  1. The table shows the probabilities of winning or losing when the team is playing away or is playing at home.

 

 

home

away

total

win

0.51

0.34

0.85

loss

0.9

0.6

0.15

total

0.6

0.4

1.00

 

  1. Are the events “winning” and “playing at home” independent? Show your calculations to justify why or why not.
  2. Are the events “losing” and “playing away” independent? Show your calculations to justify why or why not.
 Apr 25, 2022
 #1
avatar+122385 
+1

Test for independence    

 

P( A and B)  = P(A) * P(B)

 

1)  P ( winning and playing at home)  =P(winning) * P (playing at home)???

                              .51  =  .85  *  .6   ???

                              .51  =  .51      (independent)

 

2 )         .6  = .15 * . 4   ???

             .6  =  .06  ???   (No....not independent )

 

 

cool cool cool

                             

 . 

 Apr 25, 2022

26 Online Users