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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.

 

Thank you so much!

 Feb 8, 2019
 #1
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(a)   If independent then

 

P( Winning and Playing at home ) = P(winninig) * P (playing at home)     ???

 

       0.2        =   0.25 * 0.8    ???

    

      0.2 =  0.2              so.......independent

 

 

(b) 

 

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

 

0. 1   =    0. 7  *  0.15   ???

 

0. 1    = 0.105  ???

 

Not true...so .....not independent

 

 

 

cool  cool  cool

 Feb 8, 2019

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