Edexcel S3 2016 June — Question 4

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2016
SessionJune
TopicLinear combinations of normal random variables
TypeSame variable, two observations

4. The weights of eggs are normally distributed with mean 60 g and standard deviation 5 g Sairah chooses 2 eggs at random.
  1. Find the probability that the difference in weight of these 2 eggs is more than 2 g
    (5) Sairah is packing eggs into cartons. The weight of an empty egg carton is normally distributed with mean 40 g and standard deviation 1.5 g
  2. Find the distribution of the total weight of a carton filled with 12 randomly chosen eggs.
  3. Find the probability that a randomly chosen carton, filled with 12 randomly chosen eggs, weighs more than 800 g