Edexcel S1 2018 October — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2018
SessionOctober
TopicDiscrete Probability Distributions
TypeFind cumulative distribution F(x)
  1. The discrete random variable \(X\) is defined by the cumulative distribution function
\(x\)12345
\(\mathrm {~F} ( x )\)\(\frac { 3 k } { 2 }\)\(4 k\)\(\frac { 15 k } { 2 }\)\(12 k\)\(\frac { 35 k } { 2 }\)
where \(k\) is a constant.
  1. Find the probability distribution of \(X\).
  2. Find \(\mathrm { P } ( 1.5 < X \leqslant 3.5 )\) The random variable \(Y = 12 - 7 X\)
  3. Calculate Var(Y)
  4. Calculate \(\mathrm { P } ( 4 X \leqslant | Y | )\)
This paper (6 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6