Consider a population of dogs who can only weight 42 48 and

Consider a population of dogs who can only weight 42, 48 and 52 lbs, each are equally likely. If you randomly select 3 dogs and define X1 be the average weight.

In a table, find the sample space of all possible outcomes X1 can take, and the corresponding chances of each outcome (This process is to define the probability model for a variable).

Solution

sample space

X1=average

chance

42,42,42

42

0.1

42,42,48

44

0.1

42,42,52

45.33333

0.1

42,48,48

46

0.1

42,48,52

47.33333

0.1

42,52,52

48.66667

0.1

48,48,48

48

0.1

48,48,52

49.33333

0.1

48,52,52

50.66667

0.1

52,52,52

52

0.1