Missing probability in a discrete probability distribution table and the expected value
Missing probability in a discrete probability distribution table and the expected value
6 marks
The table below shows the probability distribution of a discrete random variable \(Y\).
| \(y\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
|---|---|---|---|---|---|
| \(\mathrm{P}(Y=y)\) | \(0.15\) | \(0.3\) | \(p\) | \(0.2\) | \(0.05\) |
- Find the value of \(p\).[2]
- Find \(\mathrm{E}(Y)\).[4]
Solution:
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Answer:(a) \(p=0.3\) (b) \(\mathrm{E}(Y)=1.7\)
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