Consider the following discrete probability distribution. 15 22 0.38 34 0.26 40 P(X = x) 0. 20 0.16 a. Is this a valid probability distribution? O Yes, because the probabilities add up to 1. O No,...

Please fast a,b,c

Extracted text: Consider the following discrete probability distribution. 15 22 0.38 34 0.26 40 P(X = x) 0. 20 0.16 a. Is this a valid probability distribution? O 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 40? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variable X is between 14 and 29? (Round your answer to 2 decimal places.) Probability