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Let / be a geometric random variable with parameter 1/2, and X1, X2, ... be uniform random variables on (0,1). Assume that N, X1, X2, ... are independent. Answer the following questions. 5. Fill in the blanks (1.5 marks) Let Z = max(X1, . . . , XN). 1. Find the value of c such that P(Z c). . Answer: 1 2. Find the expected value of Z. . Answer: 2 3. Find the variance of Z. . Answer: 3 Correct answers to 4 decimal places. Enter the correct answer below. Please enter a number for this text box. 2 Please enter a number for this text box. 3 Please enter a number for this text box. 6. Fill in the blanks (1.5 marks) Let W = min(X1, . . ., XN). 1. Find the value of c such that P(W c). o Answer: 1 2. Find the expected value of W. . Answer: 2 2 Find tha variance of IN