AQA Further AS Paper 2 Statistics Specimen — Question 3 4 marks

Exam BoardAQA
ModuleFurther AS Paper 2 Statistics (Further AS Paper 2 Statistics)
SessionSpecimen
Marks4
TopicDiscrete Probability Distributions
TypeMultiple unknowns from expectation and variance
3 The discrete random variable \(R\) has the following probability distribution.
\(\boldsymbol { r }\)- 20\(a\)4
\(\mathbf { P } ( \boldsymbol { R } = \boldsymbol { r } )\)0.3\(b\)\(c\)0.1
It is known that \(\mathrm { E } ( R ) = 0.2\) and \(\operatorname { Var } ( R ) = 3.56\)
Find the values of \(a , b\) and \(c\).
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