Question

A researcher is interested in understanding the predictors of why individuals bully other individuals. She collects the following data. #of Friends Respondent was a Bully Victim (0 #of Times Respondent ID of Gender (0 No; 1 Yes) Respondent who Bully Female; 1= Male) Bullied Others 2 1 5 2 4 1 2 3 0 1 8 4 2 4 5 6 1 6 6 3 0 2 7 7 1 1 7 8 4. 0 0 9 2 1 1 1 10 7 1 8

If you were to draw one individual from this sample of 10 individuals, what characteristics do you believe would be the most likely to be drawn (1 = Bully Victim and Bully Offender; 2 = Bully Victim but not Bully Offender; 3 = Bully Offender but not Bully Victim; or 4 = Non Bully Victim and Non Bully Offender)? Why?

* Please show work *

Answer 1

Classical Probability

We have to draw one individual and conclude what characteristic is most likely to be drawn . So, from the data sample we See that, no. of Category 1 (bully victim and bully offender) is 6. So, the probability drawing one individual who belongs to Category I is : 6/10 = 0.6. Similarly, no. of category 2 (bully victim but not bully offender) is 0. So, the corresponding probability is 0. no. of category 3 (bully offender but not bully vietăm ) is 3. So, the probability is : 3/20 = 0.3 no. of category 4 (Non bully victim and non bully offender) is 1. So, the proobability is: 1/10 - 0:1

So, clearly by probability theory, one who is Bully victim and Bully offender, is the most likely to be drawn from the giver sample.