Consider the following discrete probability distribution. X 15 22 34 46 P(X = X) 8.26 8.43 6.22 6.15 a. Is this a valid probability distribution? 0 Yes, because the probabilities add up to 1. O No. because the gaps between x values vary. 1'}. What is the probability that the random variable X is less than 35? (Round your answer to 2 decimal places.) c. What is the probability that the random variable Xis between 13 and 28? (Round your answer to 2 decimal places.) d. What is the probability that the random variable Xis greater than 19? (Round your answer to 2 decimal places.)