Edexcel FS1 AS 2023 June — Question 1

Exam BoardEdexcel
ModuleFS1 AS (Further Statistics 1 AS)
Year2023
SessionJune
TopicDiscrete Random Variables
TypeProbability distributions with parameters
  1. The discrete random variable \(X\) has the following distribution
\(x\)01234
\(\mathrm { P } ( X = x )\)\(r\)\(k\)\(\frac { k } { 2 }\)\(\frac { k } { 3 }\)\(\frac { k } { 4 }\)
where \(r\) and \(k\) are positive constants.
The standard deviation of \(X\) equals the mean of \(X\)
Find the exact value of \(r\)
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