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LFM Stats And Pure
Discrete Probability Distributions
Q2
CAIE S1 2012 November — Question 2
Exam Board
CAIE
Module
S1 (Statistics 1)
Year
2012
Session
November
Topic
Discrete Probability Distributions
Type
Multiple unknowns from expectation and variance
2 The discrete random variable \(X\) has the following probability distribution.
\(x\)
- 3
0
2
4
\(\mathrm { P } ( X = x )\)
\(p\)
\(q\)
\(r\)
0.4
Given that \(\mathrm { E } ( X ) = 2.3\) and \(\operatorname { Var } ( X ) = 3.01\), find the values of \(p , q\) and \(r\).
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