AQA Further Paper 3 Statistics 2021 June — Question 7

Exam BoardAQA
ModuleFurther Paper 3 Statistics (Further Paper 3 Statistics)
Year2021
SessionJune
TopicExponential Distribution
TypeCalculate mean or variance

7 The random variable \(X\) has an exponential distribution with parameter \(\lambda\) 7
  1. Prove that \(\mathrm { E } ( X ) = \frac { 1 } { \lambda }\)
    7
  2. Prove that \(\operatorname { Var } ( X ) = \frac { 1 } { \lambda ^ { 2 } }\)