AQA S2 2006 January — Question 5

Exam BoardAQA
ModuleS2 (Statistics 2)
Year2006
SessionJanuary
TopicDiscrete Probability Distributions
TypeCalculate Var(X) from table
5 The Globe Express agency organises trips to the theatre. The cost, \(\pounds X\), of these trips can be modelled by the following probability distribution:
\(\boldsymbol { x }\)40455574
\(\mathbf { P } ( \boldsymbol { X } = \boldsymbol { x } )\)0.300.240.360.10
  1. Calculate the mean and standard deviation of \(X\).
  2. For special celebrity charity performances, Globe Express increases the cost of the trips to \(\pounds Y\), where $$Y = 10 X + 250$$ Determine the mean and standard deviation of \(Y\).
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