Edexcel S1 2005 January — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2005
SessionJanuary
TopicDiscrete Probability Distributions
TypeSimple algebraic expression for P(X=x)
4. The random variable \(X\) has probability function $$\mathrm { P } ( X = x ) = k x , \quad x = 1,2 , \ldots , 5$$
  1. Show that \(k = \frac { 1 } { 15 }\). Find
  2. \(\mathrm { P } ( X < 4 )\),
  3. \(\mathrm { E } ( X )\),
  4. \(\mathrm { E } ( 3 X - 4 )\).
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