Edexcel S2 2012 June — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2012
SessionJune
TopicContinuous Uniform Random Variables
TypeMultiple observations or trials
  1. A manufacturer produces sweets of length \(L \mathrm {~mm}\) where \(L\) has a continuous uniform distribution with range [15, 30].
    1. Find the probability that a randomly selected sweet has a length greater than 24 mm .
    These sweets are randomly packed in bags of 20 sweets.
  2. Find the probability that a randomly selected bag will contain at least 8 sweets with length greater than 24 mm .
  3. Find the probability that 2 randomly selected bags will both contain at least 8 sweets with length greater than 24 mm .
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