A group of people were asked what form of exercise they participate in. They were asked whether they walk, run, both walk and run, or neither walk nor run.
The table shows the probabilities of the results.
Walk Do not walk Total
Run 0.24 0.18 0.42
Do not run0.16 0.42 0.58
Total 0.4 0.6 1.00
Let A represent walking for exercise and B represent running for exercise.
Which statement is true?
Walking for exercise and running for exercise not 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) and P(B∣∣A)=P(B) .
Walking for exercise and running for exercise are not 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) and P(B∣∣A)≠P(B) .
Choose...An observational studyA surveyAn experimentChoose...an observational studya surveyan experimentChoose...an observational studya surveyan experiment
