Edexcel S1 2001 June — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2001
SessionJune
TopicNormal Distribution
TypeMultiple probability calculations
3. The continuous random variable \(Y\) is normally distributed with mean 100 and variance 256 .
  1. Find \(\mathrm { P } ( Y < 80 )\).
  2. Find \(k\) such that \(\mathrm { P } ( 100 - k \leq Y \leq 100 + k ) = 0.516\).
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