Question

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations. What is the probability that the sample mean is 9 or larger

Answer 1

probability = 2/3

Explanation:

given data

population with 3 observations = 6, 10 and 12

solution

Sample space of select 2 number without a replacement will be as

Sample space = {(6,10),(6,12),(10,12)}

so here in two cases is = (6,12),(10,12)

that is mean is greater than or equal to 9 (9 and 11 respectively)

so we can say probability is = 2/3

probability = 2/3