Edexcel S1 — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
4. The discrete random variable \(X\) has the following probability distribution.
\(x\)12345
\(\mathrm { P } ( X = x )\)0.10.35\(k\)0.15\(k\)
Calculate
  1. \(k\),
  2. \(\mathrm { F } ( 2 )\),
  3. \(\mathrm { P } ( 1.3 < X \leq 3.8 )\),
  4. \(\mathrm { E } ( X )\),
  5. \(\operatorname { Var } ( 3 X + 2 )\).
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