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True/False Type T (for True) or F (for False) for each statement for both Discrete and Continuous...

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Statistics

True/False

Type T (for True) or F (for False) for each statementfor both Discrete and Continuous random variables.

  1. X cannot map the same sample point to two differentnumbers.

  • Discrete:
  • Continuous:
  1. The sample space (domain) can be either discrete orcontinuous.

  • Discrete:
  • Continuous:
  1. The range of X is countable.

  • Discrete:
    • Continuous:
  1. The area under the F(x) function is 1.

  • Discrete:
  • Continuous:
  1. The cdf F(x) is non-decreasing.

  • Discrete:
  • Continuous:
  1. The cdf F(x) is differentiableeverywhere.

  • Discrete:
  • Continuous:
  1. The pf/pdf f(x) is continuous.

  • Discrete:
  • Continuous:

  1. The pf/pdf f(x) is between 0 and 1(inclusive).

  • Discrete:
  • Continuous:
  1. E[g(X)] = g(E[X]).

  • Discrete:

  • Continuous:
  1. Variables need to be independent for the CLT toapply.

  • Discrete:
  • Continuous:

Answer & Explanation Solved by verified expert
3.7 Ratings (490 Votes)
X cannot map the same sample point to two different numbers Discrete TRUE Continuous FALSE The sample space domain can be either discrete    See Answer
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