Question: 3. Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. x P(x) 5 0.1

3. Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. x P(x) 5 0.1 10 0.2 15 0.3 20 0.4 x P(x) 5 0.5 10 0.3 15 -0.2 20 0.4 x P(x) 5 0.3 10 0.3 15 0.2 20 0.4

a. Which of the above tables is a probability distribution?

b. Using the correct probability distribution, find the probability that x is: (1) Exactly 15. (2) No more than 10. (3) More than 5.

c. Compute the mean, variance, and standard deviation of this distribution.

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