The population consists of numbers {1, 2, 3, 4, 5}. Please answer the following questions.

1. If a random sample size of two is taken out from the population with replacement, what is the sample mean? Construct a sampling distribution.

2. If a random sample size of two is taken out from the population without replacement, what is the sample mean? Construct a sampling distribution.

3. Calculate the variance and expected value for each sample mean (Q1 and Q2) respectively.