CAIE S1 2010 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionJune
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
1 The probability distribution of the discrete random variable \(X\) is shown in the table below.
\(x\)- 3- 104
\(\mathrm { P } ( X = x )\)\(a\)\(b\)0.150.4
Given that \(\mathrm { E } ( X ) = 0.75\), find the values of \(a\) and \(b\).
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