Edexcel S1 2001 June — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2001
SessionJune
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
4. The discrete random variable \(X\) has the probability function shown in the table below.
\(x\)- 2- 10123
\(\mathrm { P } ( X = x )\)0.1\(\alpha\)0.30.20.10.1
Find
  1. \(\alpha\),
  2. \(\mathrm { P } ( - 1 < X \leq 2 )\),
  3. \(\mathrm { F } ( - 0.4 )\),
  4. \(\mathrm { E } ( 3 X + 4 )\),
  5. \(\operatorname { Var } ( 2 X + 3 )\).
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