Statistics: Random Variables

Statistics

Unit 6: Random Variables

This complete unit bundle teaches about discrete and continuous random variables, and the binomial, geometric, and Poisson probability distributions.

Welcome! This is the complete unit plan for the sixth unit in my regular level Statistics class.

When you purchase this product, you get the following:

• 5 complete sets of student guided notes (answer keys included)
• 6 homework problem sets + complete test review (answer keys included)
• 2 assessments – quiz and test (answer keys included)
• 2 in class review PowerPoint presentations
• 2 activities
• Suggested pacing and learning targets

All of the resources are 100% editable, to modify to fit your classroom needs. The zip folder includes the Word document, which you have permission to edit completely. The PDF version and answer keys are included for your convenience. There are also PowerPoint presentations for some of the review documents.

I teach this course without a textbook, so everything that is provided here, can be used without supplementation.

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The student-friendly learning targets for this unit are:

• Students will be able to represent and interpret the probability distribution for a discrete random variable.
• Students will be able to calculate and interpret the mean and standard deviation for a discrete random variable.
• Students will be able to understand the difference between a discrete and continuous random variable and be able to calculate probabilities associated with the normal distribution.
• Students will be able to calculate and interpret probabilities, and calculate and interpret the mean and standard deviation, for a binomial distribution.
• Students will be able to calculate and interpret probabilities, and calculate and interpret the mean and standard deviation, for a geometric distribution.
• Students will be able to calculate and interpret probabilities, and calculate and interpret the mean and standard deviation, for a Poisson distribution.

The Common Core Math Standards covered in this unit are:

• MD.A.1: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
• MD.A.2: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
• MD.A.3: (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.
• MD.A.4: (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.
• MD.B.5: (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
• MD.B.5.A: Find the expected payoff for a game of chance.
• MD.B.5.B: Evaluate and compare strategies on the basis of expected values.
• MD.B.6: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
• MD.B.7: (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

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Interested in my bundled units?

Statistics: Semester 1 Curriculum Bundle (Units 1 – 6)

Statistics: Semester 2 Curriculum Bundle (Units 7 – 11)

Check out my complete curriculum:

Statistics: The Complete Curriculum Bundle (Units 1 – 11)

You can check out each individual unit below!

• Unit 1 – One-Variable Data
• Unit 2 – The Normal Distribution
• Unit 3 – Two-Variable Data
• Unit 4 – Collecting Data
• Unit 5 – Probability
• Unit 6 – Random Variables
• Unit 7 – Sampling Distributions
• Unit 8 – Confidence Intervals
• Unit 9 – Hypothesis Testing
• Unit 10 – Comparing Two Populations
• Unit 11 – Chi-Square Distributions

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If you need extra explanations or additional guidance, I would love to help!! Contact me at goldiesmathemporium[at]gmail.com for any questions or samples.

I want to provide the best possible resources to help other teachers out! You will be notified of any future updates and additions to this product and it will be free of charge. Your support is important and I thank you for allowing me to continue doing what I love to do.

Note: I am not affiliated with nor endorsed by any textbook or other curriculum provider. I am a classroom teacher who creates curriculum materials to help other teachers.

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