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*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.