Edexcel S1 2017 June — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2017
SessionJune
TopicCumulative distribution functions
TypeDiscrete CDF to PMF
4. The discrete random variable \(X\) has probability distribution
\(x\)- 1012
\(\mathrm { P } ( X = x )\)\(a\)\(b\)\(b\)\(c\)
The cumulative distribution function of \(X\) is given by
\(x\)- 1012
\(\mathrm {~F} ( x )\)\(\frac { 1 } { 3 }\)\(d\)\(\frac { 5 } { 6 }\)\(e\)
  1. Find the values of \(a , b , c , d\) and \(e\).
  2. Write down the value of \(\mathrm { P } \left( X ^ { 2 } = 1 \right)\).
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    } \(T\)
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