Finding the number of trials and success probability
Finding the number of trials and success probability
IB Year 5 | Grade 11
If the random variable \(X\) is such that \(X \sim B(10, p)\) where \(p < 0.5\) and \(Var(X) = \frac{15}{8}\), find
- \(p\);
- \(E(X)\);
- \(P(X = 2)\).
Solution:
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Answer:(a) \(p=\frac14\). (b) \(\mathrm{E}(X)=\frac52\). (c) \(\mathrm{P}(X=2)\approx0.282\) (3 s.f.).
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