Question: 1. Below are the values and corresponding probabilities for the random variable X. x f(x) 0 0.05 1 0.10 2 0.07 3 0.23 4 0.35

1. Below are the values and corresponding probabilities for the random variable X.

x f(x)

  1. 0 0.05
  2. 1 0.10
  3. 2 0.07
  4. 3 0.23
  5. 4 0.35
  6. 5 0.20
  7. A. What is the probability that X is 3 exactly?
  8. B. What is the probability that X is at most 3?
  9. C. What is the probability that X is at least 3?
  10. D. What is the expected value of X?
  11. E. What is the expected value of X2?
  12. F. What is the Variance of X?

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