Essential Questions:
1.
What is a random variable?
2.
How do we find the expected value of a discrete random variable? The variance?
3.
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, µ x

Variance, σ
 x
2
Standard Deviation, σ 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.