# Random Variables Calendar ### Chapter 6: Random Variables (Sec. 6.1 & 6.2) Outline AP Statistics Mrs. Harrison

Essential Questions:

1.

2.

3.

What is a random variable? How do we find the expected value of a discrete random variable? The variance? What happens to the mean and variance when we add or subtract a constant to the random variable? What happens when we multiply by a constant? 4.

When two (or more) random variables are combined, what happens to their means and variances?

Knowledge: You should be able to define, illustrate, or calculate the following:

 Probability Distribution  Random Variable     Discrete Random Variable Mean or Expected Value, Variance,

σ x

2 Standard Deviation,

σ x µ x

   Continuous Random Variable Linear Transformation Independent Random Variables

Skills: You should be able to…

 Compute probabilities using the probability distribution of a discrete random variable.

 Calculate and interpret the mean (expected value) of a discrete random variable.

   Calculate and interpret the standard deviation of a discrete random variable.

Compute probabilities using the probability distribution of certain continuous random variables.

Describe the effects of transforming a random variable by adding or subtracting a constant and multiplying or dividing by a constant.

  Find the mean and standard deviation of the sum or difference of independent random variables.

Find probabilities involving the sum or difference of independent Normal random variables.

Calendar:

Monday 30 7 Finish 6.2

Quiz – Sec. 6.1 & 6.2

Tuesday 1 8 Review Block Day 2/3 6.1 Discrete & Continuous Random Variables 9/10

Test – Sec. 6.1 & 6.2

Friday 4 6.2 Means and Variances of Random Variables 11 Final Review 14 Final Review 15 Final Review 16 Finals 5 th – 10:09 – 11:25 17 Finals 6 th – 9:29 – 11:25 18 Finals 4 th – 7:25 – 9:22 7 th – 9:29 – 11:25 1.