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!!!!!
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