Skip to content

Course home

4.5.1 Statistical distributions (A-level only)

4.5.1 Statistical distributions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162
Question 79

The random variable MMM, representing the final mass of a specialty alloy piece in grams, is defined by the relation

M=5G+2S−3L M = 5G + 2S - 3L M=5G+2S−3L

where GGG, SSS, and LLL are independent random variables representing the masses of gold, silver, and the mass lost during smelting respectively, with

G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52) G \sim \mathrm{N}(15, 0.8^2) \quad S \sim \mathrm{N}(25, 1.2^2) \quad L \sim \mathrm{N}(10, 0.5^2) G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52)

Find P(M>104.8)P(M > 104.8)P(M>104.8).

[5]
Markscheme

4.5.1 Statistical distributions (A-level only) Questions

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

228 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