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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      0.2              0.05          0.25

Loss      0.6             0.1             0.7

Total       0.8            0.15           1.00

(a)   Are the events “winning” and “playing at home” independent? Explain why or why not.

(b)   Are the events “losing” and “playing away” independent? Explain why or why not.

 Apr 15, 2019
 #1
avatar+99580 
+1

(a)  If independent   

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

             0.2                                 =   0.25         *      0.8       ????

             0.2                                 =   0.2

So....they are independent

 

(b)   

P ( losing and playing away)   =  P (losing ) * P (playing away)   ????

           0.1                               =    0.7           *    0.15      ????

           0.1                              =     0.105

So....not independent

 

cool cool cool                  

 
 Apr 15, 2019

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