University Introductory Statistics Continuous Distributions and the Normal Model — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 8 definitions and 6 theorems, 6 worked examples, 3 diagrams, in 13 printable pages. This page lists what the notes cover. The notes themselves come with the University Introductory Statistics bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Continuous Distributions and the Normal Model — what the notes cover
7 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Density functions and probability as area
- Definition — Probability density function
- Definition — Distribution function of a continuous variable
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
The mean and variance of a continuous variable
- Definition — Mean of a continuous random variable
- Theorem — Balance points of simple regions
- Theorem — Linear rescaling
Also in this section: 1 worked example, 1 note on method and common errors.
The uniform and exponential distributions
- Definition — Uniform distribution on an interval
- Definition — Exponential distribution with a given mean
Also in this section: 1 worked example, 1 note on method and common errors.
The standard normal table and standardizing
- Definition — Normal distribution
- Theorem — Standardizing, and reading a one-sided table
- Theorem — The empirical rule
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Percentiles of a normal distribution
- Definition — Percentile of a distribution
- Theorem — Finding a normal percentile
Also in this section: 1 worked example, 1 note on method and common errors.
The normal approximation to the binomial
- Theorem — Normal approximation to a binomial count
- Definition — Continuity correction
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Where the notes are
The notes are one of the documents in the University Introductory Statistics Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Continuous Distributions and the Normal Model practice worksheet is free and stays free.
Every University Introductory Statistics topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Introductory Statistics units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Continuous Distributions and the Normal Model practice worksheet About the Continuous Distributions and the Normal Model unit test