Edexcel S2 2022 January — Question 7

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2022
SessionJanuary
TopicContinuous Uniform Random Variables
TypeGeometric applications

7 The sides of a square are each of length \(L \mathrm {~cm}\) and its area is \(A \mathrm {~cm} ^ { 2 }\) Given that \(A\) is uniformly distributed on the interval [10,30]
  1. find \(\mathrm { P } ( L \geqslant 4.5 )\)
  2. find \(\operatorname { Var } ( L )\)
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