Edexcel S1 2021 January — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2021
SessionJanuary
TopicNormal Distribution
TypeMixed calculations with boundaries

3. The weights of packages that arrive at a factory are normally distributed with a mean of 18 kg and a standard deviation of 5.4 kg
  1. Find the probability that a randomly selected package weighs less than 10 kg The heaviest 15\% of packages are moved around the factory by Jemima using a forklift truck.
  2. Find the weight, in kg , of the lightest of these packages that Jemima will move. One of the packages not moved by Jemima is selected at random.
  3. Find the probability that it weighs more than 18 kg A delivery of 4 packages is made to the factory. The weights of the packages are independent.
  4. Find the probability that exactly 2 of them will be moved by Jemima.