Computing expected value from the probability distribution table
Computing expected value from the probability distribution table
IB Year 6 | Grade 12
The probability distribution of a random variable \(X\) is as shown in the table:
| \(x\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
|---|---|---|---|---|---|
| \(P(X=x)\) | \(\frac{1}{10}\) | \(\frac{3}{10}\) | \(y\) | \(\frac{2}{10}\) | \(\frac{1}{10}\) |
- Find the value of \(y\).
- Find the value of \(E(X)\).
Solution:
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Answer:(i) \(y=\frac3{10}\); (ii) \(E(X)=\frac{29}{10}\).
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