Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

For a packet from a particular brand of cereal, the fibre content is normally distributed with mean $160$ grams. $19\%$ of packets of cereal contain more than $190$ grams of fibre.
(a(i))[3]

Find the standard deviation of the amount of fibre in a packet.

(a(ii))[2]

Kate buys $12$ packets of cereal. Find the probability that at least $1$ of the packets contains more than $190$ grams of fibre.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct $z=0.878$ (or $0.88$)

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