Question

Consider a finite population with five elements labeled A, B. C, D, and E. Ten possible simple random sampies of size 2 can be Selected. a. List the 10 samples beginning with A, B, C, D, and E. Using simple random sampling, what is the probability that each sample of size 2 is selected? b. Assume the number 1 corresponds to A, the number 2 corresponds to B, and so on. Which of the following represents the simple random sample of size 2 that will be selected by using the random digits 805753 27 Select В.С E,C СВ ЕЕ None of the above

Answer 1

a)

10 sample are

(AB, AC,AD,AE,BC,BD,BE,CD,CE,DE)

probability =1/10 = 0.1

B)

A- 1 ,B - 2 , C - 3 , D - 4, E - 5

8057532

since 8,0,7 are greater than 5 of less than 0

55 is selcted

hence

EE is correct