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Calculate the mean, the variance, and the standord deviation of the following discrete probability datribution, (Negative values should be tndicated by a minus slgn. Pound intermediate coleulatlons to at least 4 declmol places. Paund your finat antwern to 2 decimal placen.) Consider the following discrete probability distribution. a. Complete the probability distribution. (Round your answer to 2 declmal places.) b. What is the probability that the random variable X is positive? (Round your answer to 2 declmal places.) c. What-is the probability that the random voriable Xis greotecthan 15 ? (Round your answer to 2 decimel pleces.) b. What is the probability that the random variabie X is positive? (Round your answer to 2 decimat places.) c. What is the probability that the random yariable X is grester than 15 ? (Round your answer to 2 decimel places) d. What is the probsbifity thot the random veclabie Xis less than 20 ? (Round your anawar to 2 decimal pleces.) Consider the foliowing cumulative probability distribution. a. Calculate PX 2). (Round your onswer to 2 declmal places.) b. Calculate RX=21 (Round your antwer to 2 declmal placen.) c. Calculate A2X4 ). (Round your answer to 2 decimal places.)