Edexcel FS2 2022 June — Question 7

Exam BoardEdexcel
ModuleFS2 (Further Statistics 2)
Year2022
SessionJune
TopicContinuous Uniform Random Variables
TypeE(g(X)) and Var(g(X)) by integration

  1. A rectangle is to have an area of \(40 \mathrm {~cm} ^ { 2 }\)
The length of the rectangle, \(L \mathrm {~cm}\), follows a continuous uniform distribution over the interval [4, 10] Find the expected value of the perimeter of the rectangle.
Use algebraic integration, rather than your calculator, to evaluate any definite integrals.