Edexcel S2 2023 October — Question 4

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2023
SessionOctober
TopicDiscrete Random Variables
TypeSampling distribution of mean or linear combination

  1. A manufacturer makes t -shirts in 3 sizes, small, medium and large.
20\% of the t -shirts made by the manufacturer are small and sell for \(\pounds 10 30 \%\) of the t -shirts made by the manufacturer are medium and sell for \(\pounds 12\) The rest of the t -shirts made by the manufacturer are large and sell for \(\pounds 15\)
  1. Find the mean value of the t -shirts made by the manufacturer. A random sample of 3 t -shirts made by the manufacturer is taken.
  2. List all the possible combinations of the individual selling prices of these 3 t-shirts.
  3. Find the sampling distribution of the median selling price of these 3 t-shirts.