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Consider a population of three families with the following data representing the number of pets in each family. Family Number of Pete A 1 B E C 4 a} What is the population mean for the number of pets? [2 points} b} What is the population yarianoe for the number of pets? {2 points) o} Develop the sampling distribution for the mean number of pets in all possible random samples of size 2 based on this population. Explain your process and use a table to present your answer. [7 points) :1} What is the standard error for the sampling distribution? Show your work. [2 points) a} What is the probability that the mean number of pets in a random sample of size 2, based on the information abmlreI is less than 2.5? Show your work. [2 points)