OCR Further Statistics AS 2018 June — Question 2

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2018
SessionJune
TopicDiscrete Probability Distributions
TypeCalculate Var(aX+b) transformations
2 The probability distribution for the discrete random variable \(W\) is given in the table.
\(w\)1234
\(\mathrm { P } ( W = w )\)0.250.36\(x\)\(x ^ { 2 }\)
  1. Show that \(\operatorname { Var } ( W ) = 0.8571\).
  2. Find \(\operatorname { Var } ( 3 W + 6 )\).
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