OCR Further Statistics 2019 June — Question 7

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2019
SessionJune
TopicGeometric Distribution
TypeVariance of geometric distribution
7 The random variable \(D\) has the distribution \(\operatorname { Geo } ( p )\). It is given that \(\operatorname { Var } ( D ) = \frac { 40 } { 9 }\).
Determine
  1. \(\operatorname { Var } ( 3 D + 5 )\),
  2. \(\mathrm { E } ( 3 \mathrm { D } + 5 )\),
  3. \(\mathrm { P } ( D > \mathrm { E } ( D ) )\).
This paper (9 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9