Consider the following discrete probability distribution. x 15 22 34 40P(X = x) 0.15 0.33 0.29 0.23a. Is this a valid probability distribution?? 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 38? (Round your answer to 2 decimal places.)c. What is the probability that the random variable X is between 10 and 25? (Round your answer to 2 decimal places.)d. What is the probability that the random variable X is greater than 18? (Round your answer to 2 decimal places.)

Consider the following discrete probability distribution. 15 22 34 40 P(X - X) 0.15 0.33 0.29 0.23 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. O No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 38? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variable X is between 10 and 25? (Round your answer to 2 decimal places.) Probability d. What is the probability that the random variable X is greater than 18? (Round your answer to 2 decimal places.)