The normal distribution
5.5What the syllabus asks of you
- understand the use of a normal distribution to model a continuous random variable, and use normal distribution tables
- solve problems concerning a variable X, where X ~ N(μ, σ²), including – finding the value of P(X > x₁), or a related probability, given the values of x₁, μ, σ. – finding a relationship between x₁, μ and σ given the value of P(X > x₁) or a related probability
- recall conditions under which the normal distribution can be used as an approximation to the binomial distribution, and use this approximation, with a continuity correction, in solving problems.
Read the notes first
Chapter 27: The normal distribution
Drill this topic
All 90 questions on The normal distribution, untimed — answer on paper, then mark yourself against the mark scheme.
Make a worksheet
Choose the years and how many questions, then print it with the answers on separate pages.
90 questions
These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.