ผลต่างระหว่างรุ่นของ "Probstat/week5 practice 2"
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Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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แถว 6: | แถว 6: | ||
* 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)''. | ||
+ | * 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).