CAIE S1 2009 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2009
SessionNovember
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
2 The probability distribution of the random variable \(X\) is shown in the following table.
\(x\)- 2- 10123
\(\mathrm { P } ( X = x )\)0.08\(p\)0.120.16\(q\)0.22
The mean of \(X\) is 1.05 .
  1. Write down two equations involving \(p\) and \(q\) and hence find the values of \(p\) and \(q\).
  2. Find the variance of \(X\).
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