Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

A factory makes a specific kind of metal rod. These rods have lengths that are normally distributed with mean $25.2\,\text{cm}$ and standard deviation $0.4\,\text{cm}$. One random sample of $500$ of these rods is selected.
(main)[5]

How many rods in this sample would you expect to have a length within $0.5\,\text{cm}$ of the mean length?

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Standardisation used to write a probability statement in terms of $z$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI