CAIE S1 2021 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionJune
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
2 The random variable \(X\) can take only the values \(- 2 , - 1,0,1,2\). The probability distribution of \(X\) is given in the following table.
\(x\)- 2- 1012
\(\mathrm { P } ( X = x )\)\(p\)\(p\)0.1\(q\)\(q\)
Given that \(\mathrm { P } ( X \geqslant 0 ) = 3 \mathrm { P } ( X < 0 )\), find the values of \(p\) and \(q\).
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Q1 Q2 Q3 Q4 Q5 Q6 2 Q7