N2001 P2 Q6
N2001 P2 Q6
Past Year National Exams
Free
A random variable \(X\) has the probability distribution given in the following table:
| \(x\) | \(2\) | \(3\) | \(4\) | \(5\) |
|---|---|---|---|---|
| \({\mathbb{P}(X = x)}\) | \(p\) | \({\frac{2}{10}}\) | \({\frac{3}{10}}\) | \(q\) |
- Given that \(\mathrm{E}\left( X \right)=4\), find \(p\) and \(q\).
- Show that \(\mathrm{Var}\left( X \right)=1\).
- Find \(\mathrm{E}\left( \left| X-4 \right| \right)\).
- Ten independent observations of \(X\) are taken. Find the probability that the value of \(3\) is obtained at most \(3\) times.
Video Solution:
Default solution
Answer:\(0.879\)
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