Answer to Question #166355 in Statistics and Probability for China

Question

1.      Consider the set of even single-digit number {0, 2, 4, 6, 8}. a.      Make a list of possible sample size of 2 that can be taken from this sets of numbers 

Answer 1

List of all possible samples of size 2 -

• (0 , 2)
• (0 , 4)
• (0 , 6)
• (0 , 8)
• (2 , 4)
• (2 , 6)
• (2 , 8)
• (4 , 6)
• (4 , 8)
• (6 , 8)

The samples are drawn using WITHOUT REPLACEMENT procedure . There are a total of 10(i.e. $^5C_2$ ) different samples of size 2.