2013 IJC P2 Q8

2013 IJC P2 Q8

3 marks
Prelims
  1. The random variable \(X\) has the binomial distribution \(\mathrm{B}\left( 10,p \right)\) such that \(\mathrm{P}(X=2)=0.0325\).[3]
    Write down an equation in terms of \(p\) and find the value of p given that \(p<0.4\).

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Answer:(a) \(45p^2(1-p)^8=0.0325\), \(p=0.0304\)

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