Skip to content

Course home

2.4.2 The Normal distribution (A-level only)

2.4.2 The Normal distribution (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256
Question 158

In a large residential district, it is estimated that 22% of households have installed solar panels.

a.

State two assumptions required to model the number of households with solar panels in a random sample of size nnn using a binomial distribution.

[2]
b.

Using this model, find the probability that exactly 4 households have solar panels in a random sample of 18 households.

[2]
c.

Calculate the mean and the variance of the number of households with solar panels in a random sample of 250 households.

[2]
d.

A regional council inspects a random sample of 250 households. The district is classified as 'Eco-Leading' if more than 62 households in the sample have installed solar panels.

Using a suitable approximation, find the probability that the district will be classified as 'Eco-Leading'.

[4]
Markscheme

2.4.2 The Normal distribution (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.4.2 The Normal distribution (A-level only)

351 exam-style questions on AQA A Level Maths 2.4.2 The Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank