Skip to content

Course home

Sign up

4.5.1 Statistical distributions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
Question 58

The weights of crates that are delivered to a warehouse are normally distributed with a mean of 25 kg and a standard deviation of 4.5 kg.

a.

Find the probability that a randomly selected crate weighs more than 33 kg.

[2]
b.

The lightest 20% of crates are handled by a specialized automated conveyor system.

Find the weight, in kg, of the heaviest of these crates that the conveyor system will handle.

[3]
c.

One of the crates not handled by the conveyor system is selected at random.

Find the probability that it weighs less than 28 kg.

[4]
d.

A shipment of 5 crates is delivered to the warehouse. The weights of the crates are independent.

Find the probability that exactly 3 of them will be handled by the conveyor system.

[3]
Markscheme

4.5.1 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.5.1 Statistical distributions (A-level only)

225 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank