Suppose that c is a real number and U is a discrete random variable with E(U)= 0. Which of the following is not true in general? Select one: a. \(\text {Var}(U)=\mathbb {E}(U^2)\) b. \(\mathbb {E}(cU)=0\) c. \(U\) takes value 0 with probability 1 O d. \(\mathbb {E}(U+c)=c\) e. None of the other choices

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose that cis a real number and U is a discrete random variable with E(U)= 0. Which of the following
is not true in general?
Select one:
a. \(\text {Var}(U)=\mathbb {E}(U^2)\)
O b. \(\mathbb {E}(cU)=0\)
c. \(U\) takes value 0 with probability 1
d. \(\mathbb {E}(U+c)=c\)
e. None of the other choices
Transcribed Image Text:Suppose that cis a real number and U is a discrete random variable with E(U)= 0. Which of the following is not true in general? Select one: a. \(\text {Var}(U)=\mathbb {E}(U^2)\) O b. \(\mathbb {E}(cU)=0\) c. \(U\) takes value 0 with probability 1 d. \(\mathbb {E}(U+c)=c\) e. None of the other choices
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