Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. (a) Develop a probability distribution for x. (Round your answers to three decimal places.) Number of Cups per Day f(x) 0 0.259 Correct: Your answer is correct. 1 0.359 Correct: Your answer is correct. 2 0.190 Correct: Your answer is correct. 3 0.089 Correct: Your answer is correct. 4 or more 0.103 Correct: Your answer is correct. (b) Compute the expected value of x. (Round your answer to three decimal places.) E(x) = 1.418 Incorrect: Your answer is incorrect. (c) Compute the variance of x. (Round your answer to three decimal places.) Var(x) = .017 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (d) Suppose we are only interested in adults who drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. (Round your answer to three decimal places.) E(y) = .508 Incorrect: Your answer is incorrect. Compare the expected value of y to the expected value of x.