CAIE S1 2019 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
4 In a probability distribution the random variable \(X\) takes the values \(- 1,0,1,2,4\). The probability distribution table for \(X\) is as follows.
\(x\)- 10124
\(\mathrm { P } ( X = x )\)\(\frac { 1 } { 4 }\)\(p\)\(p\)\(\frac { 3 } { 8 }\)\(4 p\)
  1. Find the value of \(p\).
  2. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
  3. Given that \(X\) is greater than zero, find the probability that \(X\) is equal to 2 .
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