Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Farmer Jones is growing apples. The apple weights this year, measured in grams, follow a normal distribution with mean $170$ and standard deviation $25$. Any apples weighing from $142$ grams to $205$ grams are supplied to a supermarket.
(a)[4]

Calculate the probability that one apple selected at random from Farmer Jones this year is sold to the supermarket.

(b)[3]

Calculate an estimate of his total income from this year’s apples.

(c)[3]

Find the value of $w$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Proper standardisation to $P(-1.12 < Z < 1.4)$.

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