Edexcel S1 2014 June — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicCumulative distribution functions
TypeDiscrete CDF to PMF
  1. A biased four-sided die has faces marked \(1,3,5\) and 7 . The random variable \(X\) represents the score on the die when it is rolled. The cumulative distribution function of \(X , \mathrm {~F} ( x )\), is given in the table below.
\(x\)1357
\(\mathrm {~F} ( x )\)0.20.50.91
  1. Find the probability distribution of \(X\)
  2. Find \(\mathrm { P } ( 2 < X \leqslant 6 )\)
  3. Write down the value of \(\mathrm { F } ( 4 )\)
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