Edexcel S2 2005 January — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2005
SessionJanuary
TopicNormal Distribution
TypeSingle tail probability P(X < a) or P(X > a)
  1. The random variables \(R , S\) and \(T\) are distributed as follows
$$R \sim \mathrm {~B} ( 15,0.3 ) , \quad S \sim \mathrm { Po } ( 7.5 ) , \quad T \sim \mathrm {~N} \left( 8,2 ^ { 2 } \right) .$$ Find
  1. \(\mathrm { P } ( R = 5 )\),
  2. \(\mathrm { P } ( S = 5 )\),
  3. \(\mathrm { P } ( T = 5 )\).
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