ผลต่างระหว่างรุ่นของ "Probstat/week5 practice 2"

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* 1.1 Let ''X'' be a random variable that denotes the chosen integer from the experiment.  Find E[''X''] and ''Var(X)''.
 
* 1.1 Let ''X'' be a random variable that denotes the chosen integer from the experiment.  Find E[''X''] and ''Var(X)''.
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* 1.2 Let's perform the experiment 2 times.  Let ''X''<sub>1</sub> and ''X''<sub>2</sub> that denote the chosen integers from the first and the second experiments.  Let ''Y'' = (''X''<sub>1</sub> + ''X''<sub>2</sub>)/2.  Find E[''Y''] and ''Var(Y)''.

รุ่นแก้ไขเมื่อ 17:10, 17 กันยายน 2557

This is part of probstat.

Independent random variables

1. Consider a simple experiment of choosing, uniformly at random, an integer from the set {0,1}.

  • 1.1 Let X be a random variable that denotes the chosen integer from the experiment. Find E[X] and Var(X).
  • 1.2 Let's perform the experiment 2 times. Let X1 and X2 that denote the chosen integers from the first and the second experiments. Let Y = (X1 + X2)/2. Find E[Y] and Var(Y).