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June 2011 p61 q3
2967
The possible values of the random variable X are the 8 integers in the set \(\{-2, -1, 0, 1, 2, 3, 4, 5\}\). The probability of X being 0 is \(\frac{1}{10}\). The probabilities for all the other values of X are equal. Calculate:
- \(P(X < 2)\),
- the variance of X,
- the value of a for which \(P(-a \leq X \leq 2a) = \frac{17}{35}\).
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