OCR FS1 AS 2021 June — Question 1

Exam BoardOCR
ModuleFS1 AS (Further Statistics 1 AS)
Year2021
SessionJune
TopicPoisson Distribution
TypeExpectation and variance of Poisson-related expressions
1 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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