Consider the following discrete probability distribution. х 15 P(X = x) 0.16 22 0.41 34 0.25 40 0.18 a. Is this a valid

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Consider the following discrete probability distribution. х 15 P(X = x) 0.16 22 0.41 34 0.25 40 0.18 a. Is this a valid probability distribution? o Yes, because the probabilities add up to 1. No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 40? (Round your answer to 2 decimal places.) Probability 0.81 c. What is the probability that the random variable X is between 14 and 32? (Round your answer to 2 decimal places.) Probability 0.56 d. What is the probability that the random variable X is greater than 19? (Round your answer to 2 decimal places.) Probability 0.84