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LFM Stats And Pure
Discrete Probability Distributions
Q2
OCR MEI S1 2010 June — Question 2
Exam Board
OCR MEI
Module
S1 (Statistics 1)
Year
2010
Session
June
Topic
Discrete Probability Distributions
Type
Simple algebraic expression for P(X=x)
2 The probability distribution of the random variable \(X\) is given by the formula $$\mathrm { P } ( X = r ) = k r ( 5 - r ) \text { for } r = 1,2,3,4 .$$
Show that \(k = 0.05\).
Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
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