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Consider the following discrete probability distribution. x 15 22 34 40 P ( X = x ) 0.14 0.51 0.21 0.14 a. Is this a

Consider the following discrete probability distribution.

x 15 22 34 40
P(X=x) 0.14 0.51 0.21 0.14

a.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 variableXis less than 40?(Round your answer to 2 decimal places.) c.What is the probability that the random variableXis between 14 and 26?(Round your answer to 2 decimal places.) d.What is the probability that the random variableXis greater than 18?(Round your answer to 2 decimal places.)

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