There is a population of five people:Amy, Brianna, Carlos, Darius, & Eirik.[Note:this is a population, not a sample.]They are asked how many hours they studied last month.Amy studied 10 hours, Brianna studied 22 hours, Carlos studied 18 hours, Darius studied 26 hours, and Eirik studied 4 hours.We are too lazy to poll the entire population, so we take a sample of two (with replacement and order matters).Unlike some practice tests, you will not be asked to draw the sampling distribution in any question, but it will prove helpful if you do it for yourself in order to answer the questions.At no point am I asking you to post an image of the distribution.

1. What is the probability that the mean of the sampling distribution equals the mean of the population?
2. What is the probability that your error (the distance between what you want to know and your estimate of what you want to know) is two hours or less?Explain how you know this.Details are welcome.
3. If we increased the sample size to four (instead of two), what would the standard error of the sampling distribution of the mean equal?Explain your work and how you got your answer.