Random Variables and Probability Distributions notes
10 notes by 10 users
This GoConqr page gathers notes on random variables and probability distributions, from discrete variables to normal curves. It offers university students and professional candidates, school students and teachers material for studying or teaching these topics. There are over 9 user-made notes spanning school and university study. Choose a note to begin.
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- Discrete Random Variables19
- Continuous Random Variables11
- Expected Value, Variance and Transformations5
- Shapes of Distributions7
- Binomial, Poisson and Geometric Distributions39
- Uniform, Exponential and Other Continuous Distributions19
- Normal Distribution and Z-Scores51
- Normal and Discrete Distributions7
- Joint and Bivariate Distributions5
Notes
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Probability & Statistics Introduction This is a scatter plot between petal width as the y-axis and petal length as the x-axis from the IRIS dataset. The setosa flower is well separated but let us suppose picked some random point(xq, where q i...
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Statistics 2 - S2 Chapter 1 - Binomial Distribution When Is It Used? There are a fixed number of trials, n. Each trial can be only be a success or a failure. Each trial is independent of one another. The probability of success is const...
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Chapter four - created from Mind Map
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Changing an X value to Z value If you have a statistical sample with a normal distribution, you can plug an x-value for this distribution into a special equation to find its z-value. The z-value can then help you to interpret statist...
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Stats YEAR 2 Chapter 3 Characteristics of a normal distribution curve What does a normal distribution curve look like? It looks like a bell shaped curve which is symmetrical on both sides. We usually draw the y axis where the mean is so we ...
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Math1005 Week 4 Notes The normal curve It approximates many natural phenomenon Does this by combining a large number of independent variables Bellshaped curve It represents a normal distribution Standard Normal Curve Has mean ...
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Discrete Random Variables 4 Properties of a Binomial ExpansionFixed number of trials (n)Two possible outcomes in a trial (success or failure)Trials are independentProbability of success (p) remains constantIf X is the number of successes in n ...
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Random variable - created from Mind Map Quantity whose future outcomes are uncertain Discrete Continuous
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Module 4 notes You can convert any normally distributed random variable to a standardized normal random variable according to the formula z = x-mean/SD where z = the standardized normal random variable indicating the number of stand...
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Statistics Statistics- S4 - Linear Combinations of Normal Random Variables. Combining different variables, such as something with the mean = 3 and variance = 1, with something of mean = 2 and variance = 2. Worked Example 1.1Mean...
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About random variables and probability distributions notes
GoConqr OriginalRandom variables and probability distributions notes
These notes offer different ways into the unit. Discrete Random Variables sets out the properties of a binomial expansion, including a fixed number of trials and two possible outcomes. Other notes introduce discrete and continuous random variables or describe the shape of a normal curve.
For work on normal distributions, Changing an X value to Z value explains how an x-value can be converted to a z-value. Module 4 notes also covers standardising a normal random variable.
Using the notes to revise
Start with the note that matches your current topic. For example, read Discrete Random Variables when you want to review the conditions for binomial trials. Write down the conditions in your own words, then return to the note to check them.
If you want to see ideas arranged visually, switch to a mind map on the unit page. When you are ready to check your understanding, try a unit quiz.
Frequently asked questions
Which note is a good place to start?
Start with the note on discrete and continuous random variables if you want an introduction to the distinction. For a more focused review, Discrete Random Variables lists the properties of a binomial expansion, including a fixed number of independent trials and two possible outcomes.
Do the notes cover normal distributions?
Yes. Changing an X value to Z value discusses converting an x-value to a z-value for a normal distribution. Module 4 notes also covers standardising a normal random variable. Other notes describe the normal curve and combinations of normal random variables.
Are the notes free to use?
Yes. Every note listed here is free to open and study without an account. The notes were made by GoConqr users, not by GoConqr. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes.