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  3. consider the following discrete probability distribution 15 22 px x...

Question: consider the following discrete probability distribution 15 22 px x...

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Consider the following discrete probability distribution 15 22 P(X x) 0.14 0.38 0.27 0.21 xc 34 40 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 36? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variable X is between 12 and 30? (Round your answer to 2 decimal places.) Probability
d. What is the probability that the random variable X is greater than 17? (Round your answer to 2 decimal places.) Probability
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