Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  2. Maths Edexcel
  3. Question bank

The Normal Distribution

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317
Question 148

The amount of coffee, XXX ml, dispensed into a cup by machine PPP is normally distributed with a mean of 250 ml250\text{ ml}250 ml and a standard deviation of 8 ml8\text{ ml}8 ml.

a.

Find the probability that a randomly selected cup contains more than 262 ml262\text{ ml}262 ml.

[2]
b.

A 'regular' size is defined such that only 2%2\%2% of cups contain less than v mlv\text{ ml}v ml. Find the value of vvv.

[3]
c.

The amount of coffee, YYY ml, dispensed by machine QQQ is normally distributed with mean μ\muμ and standard deviation σ\sigmaσ.

Given that P(Y<240)=0.05P(Y < 240) = 0.05P(Y<240)=0.05 and P(Y<265)=0.98P(Y < 265) = 0.98P(Y<265)=0.98, find the value of μ\muμ and the value of σ\sigmaσ.

[5]

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank