Consider the following discrete probability distribution. 15 0.15 22 34 P(X - x) 40 0.15 0.45 0.25 a. Is this a valid probability distribution? O Yes, because the probabilities add up to 1. ONo, because the gaps between x values vary. b. What is the probability that the random variable X is less than 37? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variabie X is between 11 and 327 (Round your answer to 2 decimal places) Probability

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Chapter1: Combinatorial Analysis
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Consider the following discrete probability distribution.
15
22
34
40
0.15
P(X - x)
0.15
0.45
0.25
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.
ces
b. What is the probability that the random variable X is less than 37? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that the random variable X is between 11 and 327 (Round your answer to 2 decimal places.)
Probability
Transcribed Image Text:Consider the following discrete probability distribution. 15 22 34 40 0.15 P(X - x) 0.15 0.45 0.25 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. ces b. What is the probability that the random variable X is less than 37? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variable X is between 11 and 327 (Round your answer to 2 decimal places.) Probability
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