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avatar+381 

A confusing word problem for me

 

 

 

 

Walking for exercise and running for exercise not independent events because P(A|B)=P(A) andP(B|A)=P(B) .

Walking for exercise and running for exercise are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .

Walking for exercise and running for exercise are independent events because P(A|B)=P(A)P(A|B)=P(A) andP(B|A)=P(B) .

Walking for exercise and running for exercise are not independent events because P(A|B)≠P(A) andP(B|A)≠P(B)

 

Thank you!!!!!

 May 28, 2019
 #1
avatar+101086 
+1

If independent  then

P( A l B ) = P(A)  and  P( B l A )  = P(B)

 

In other words....the probability of an event occuring isn't affected by another event occuring

 

P(A)  = .4/1.00  = .40        P(B) = .42/1.00 = .42

 

P(A and B)  = (.40)(.42)  = .168

 

P(A l B)  =  P ( A and B)          .168  

                  __________  =   ______  =  .40  =  P(A)

                    P(B)                      .42

 

And

 

P(B l A )  =  P(A and B)              .168

                  ___________  =  ________  =  .42  = P(B)

                    P(A)                         .40

 

So....these events are independent

 

 

cool cool cool

 May 28, 2019

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