I am having trouble Sampling Distributions and Estimators.

10: Let the population consists of three data points: {2, 3, 7}. a: Calculate the population mean, population variance and population standard deviation. b: If we would like to take two numbers with replacement, (This means after you pick your first number, you have to replace the number you picked and then pick your second number.) list all 9 possible ways of getting two numbers. c: For each of the sample from part b, calculate the sample mean. Denote them as 61 = = C3 = Math 150, Spring 2021 El Camino College G. Song CA= C; = C& = 17 = Ca = Tg = d: Find the mean of the sample means from part c. e: For each of the sample from part b, calculate the sample variance (not standard deviation). Denote them as 2 2 S - f: Find the mean of the sample variances from part e. g: For each of the sample from part b, calculate the sample standard deviation. Denote them as 51= SA $7 = 5q = h: Find the mean of the sample standard deviations from part g