2025 ACJC P2 Q8

2025 ACJC P2 Q8

Junior College 2

5 marks

The probability distribution of a discrete random variable \(X\) is given as follows:

\(x\)	\(-2\)	\(-1\)	\(0\)	\(1\)	\(3\)
\(\mathrm{P} \left(X=x \right)\)	\(0.1\)	\(a\)	\(0.3\)	\(b\)	\(c\)

Given that \(\mathrm{E}(X)= 0.9\) and \(\mathrm{Var}(X)=2.99\), find the values of \(a,b\) and \(c\)[5]

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Answer:\(a=\frac{1}{10},\ b=\frac{3}{20},\ c=\frac{7}{20}\)

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