Edexcel S1 2004 January — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2004
SessionJanuary
TopicDiscrete Probability Distributions
TypeCalculate E(X) from given distribution
3. A discrete random variable \(X\) has the probability function shown in the table below.
\(x\)0123
\(\mathrm { P } ( X = x )\)\(\frac { 1 } { 3 }\)\(\frac { 1 } { 2 }\)\(\frac { 1 } { 12 }\)\(\frac { 1 } { 12 }\)
Find
  1. \(\mathrm { P } ( 1 < X \leq 3 )\),
  2. \(\mathrm { F } ( 2.6 )\),
  3. \(\mathrm { E } ( X )\),
  4. \(\mathrm { E } ( 2 X - 3 )\),
  5. \(\operatorname { Var } ( X )\)
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