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Let X be a random variable for which P[X = 40] = 1/6 & P[X = -50] = 1/6 and Y be a random variable for which P[Y = 5] = 244/495 & P[Y = -5] = 251/495 and let Z = 3X - Y + 10 assuming X & Y are independent, the E(Z) & Var(Z) are closest to.
  • E(Z) = -5, Var(Z) = 3167
  • E(Z) = 5, Var(Z) = 6150
  • E(Z) = 5, Var(Z) = 3100
  • E(Z) = -5, Var(Z) = 6110
  • E(Z) = 5, Var(Z) = 1067
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified: Wed May 13 12:29:11 EDT 1998