Short Answer Full credit will only be given for complete solutions. Show your work! 1. Suppose...

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Short Answer Full credit will only be given for complete solutions. Show your work! 1. Suppose I have the (unordered) data set (2,3, k, 4, 9, 8, 2, 0, 1, 1, 10, 15) where k is an unknown number. Determine the value of k that will make the mean of this data set equal to 5.2. [3 marks total] 2. Suppose that X is a binomial random variable with n = 40, p is unknown. Answer the following about this random variable. [1-3 marks each] What is the maximum variance X can have? b) What is PCX <31X25)? c) Now suppose that p=0.3. What is E(X)? Short Answer Full credit will only be given for complete solutions. Show your work! 1. Suppose I have the (unordered) data set (2,3, k, 4, 9, 8, 2, 0, 1, 1, 10, 15) where k is an unknown number. Determine the value of k that will make the mean of this data set equal to 5.2. [3 marks total] 2. Suppose that X is a binomial random variable with n = 40, p is unknown. Answer the following about this random variable. [1-3 marks each] What is the maximum variance X can have? b) What is PCX <31X25)? c) Now suppose that p=0.3. What is E(X)?