OCR Further Statistics 2022 June — Question 3

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2022
SessionJune
TopicDiscrete Probability Distributions
TypeMultiple unknowns from expectation and variance
3 In this question you must show detailed reasoning. A discrete random variable \(V\) has the following probability distribution, where \(p\) and \(q\) are constants.
\(v\)0123
\(\mathrm { P } ( \mathrm { V } = \mathrm { v } )\)\(p\)\(q\)0.120.2
It is given that \(\mathrm { E } ( V ) = \operatorname { Var } ( V )\). Determine the value of \(p\) and the value of \(q\).
This paper (9 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9