Edexcel S1 2023 January — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2023
SessionJanuary
TopicDiscrete Probability Distributions
TypeMultiple unknowns from expectation and variance
  1. The probability distribution of the discrete random variable \(X\) is given by
\(x\)234
\(\mathrm { P } ( X = x )\)\(a\)0.4\(0.6 - a\)
where \(a\) is a constant.
  1. Find, in terms of \(a , \mathrm { E } ( X )\)
  2. Find the range of the possible values of \(\mathrm { E } ( X )\) Given that \(\operatorname { Var } ( X ) = 0.56\)
  3. find the possible values of \(a\)
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