Edexcel S1 2021 June — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2021
SessionJune
TopicDiscrete Probability Distributions
TypeMultiple unknowns from expectation and variance
  1. The discrete random variable \(X\) has the following probability distribution
\(x\)- 2- 1014
\(\mathrm { P } ( X = x )\)\(a\)\(b\)\(c\)\(b\)\(a\)
Given that \(\mathrm { E } ( X ) = 0.5\)
  1. find the value of \(a\). Given also that \(\operatorname { Var } ( X ) = 5.01\)
  2. find the value of \(b\) and the value of \(c\). The random variable \(Y = 5 - 8 X\)
  3. Find
    1. \(\mathrm { E } ( Y )\)
    2. \(\operatorname { Var } ( Y )\)
  4. Find \(\mathrm { P } \left( 4 X ^ { 2 } > Y \right)\)
This paper (6 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6