OCR S1 2005 January — Question 4

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2005
SessionJanuary
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
4 The table below shows the probability distribution of the random variable \(X\).
\(x\)- 2- 1012
\(\mathrm { P } ( X = x )\)\(\frac { 1 } { 4 }\)\(\frac { 1 } { 5 }\)\(k\)\(\frac { 2 } { 5 }\)\(\frac { 1 } { 10 }\)
  1. Find the value of the constant \(k\).
  2. Calculate the values of \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
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