Type T (for True) or F (for False) for each statementfor both Discrete and Continuous random variables.
Question 16) X cannot map the same sample point to two differentnumbers. Discrete: Continuous:
Question 17) The sample space (domain) must be discrete.Discrete: Continuous:
Question 18 ) The range of X is uncountably infinite. Discrete:Continuous:
Question 19) The area under the F(x) function is 1. Discrete:Continuous:
Question 20) The cdf F(x) is differentiable everywhere.Discrete: Continuous:
Question 21) There exists a point y so that the cdf F(x) = 0 forall x ≤ y. Discrete: Continuous:
Question 22 ) The pf/pdf f(x) is non-decreasing. Discrete:Continuous:
Question 23) The pf/pdf f(x) is differentiable everywhere.Discrete: Continuous:
Question 24) E[X2] = Var(X) + (E[X])2. Discrete: Continuous:
Question 25) A symmetric distribution has mean equal to themidpoint of the range. Discrete: Continuous:
