9709 P61 - Nov 2019 - Q4
2982
In a probability distribution the random variable X takes the values -1, 0, 1, 2, 4. The probability distribution table for X is as follows.
| x | -1 | 0 | 1 | 2 | 4 |
|---|---|---|---|---|---|
| P(X = x) | \(\frac{1}{4}\) | p | p | \(\frac{3}{8}\) | 4p |
- Find the value of p.
- Find E(X) and Var(X).
- Given that X is greater than zero, find the probability that X is equal to 2.
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