6 5 points Let X E {-1, 0, 1} have probability mass function given by .25 x = -1 f ( ac ) = .5 x = 0 .25 x = 1 Compute P(X 2 0). Type your answer...9 5 points Let X E [-1, 1] have probability density function f (a) = .5. Compute the probability P(-.25 3). Round to three decimal places. Hint: The complement rule can be used to simplify the improper integral into a proper one here, to avoid having to take the limit for the improper integral. Type your answer... 8 5 points Let X E {0, 1, 2, .. .} have probability mass function f (a) = .25 (.75). Compute the probability P(X > 3). Round to three decimal places. Hint: Use the complement rule.5 points Thefunction f(:13) : 3:2 is a valid probability mass function for the set {0, 1, 2, 3, 4, 5} 5 points Let an) : C 332 be a probability density function for the support X : [ l, 1]. Find the normalizing constant C > 0 which makes f a valid probability density function for this support. Round to three decimal places. Type your answer... 1 5 points Match the left-hand side with the appropriate term on the right-hand side. Discrete random variable Countable V Support of discrete random Probabilit V variable Support of continuous Uncounta random variable Continuous random variable Probabilit V