Chapter 7 - Random Variables

How do you distinguish between a discrete random variable and a continuous random variable?

Compare and contrast probability histograms and density curves.

If X is discretely distributed for the integers {1, 2, 3} and P(X=1) does not equal P(X=3), does the expected value of X have to be an integer? Why or why not? Does the mode have to be an integer? Why or why not? Does the expected value of a distribution have to be a value of x from your distribution (for instance, does the average number of pips on one die rolled have to be 1, 2, 3, 4, 5, or 6)? Does the mode have to be an observed value of x? Why or why not?

How does the Law of Large Numbers relate to the Kid-sino lab on November 18th?

The mean of the sum is the sum of the means.
The variance of the sum is the sum of the variances (if the variables are independent).
The variance of the difference is the SUM of the variances (if the variables are independent).
Why?

The variance of 2X is 4 times the variance of X.
The variance of (X + Y) is the variance of X plus the variance of Y (if the variables are independent).

Why are these different formulas? Or are they?

Have a super day.

State of Fear

Speak your mind, but don't spoil it for the rest of the readers.

Chapter 6 - Probability

Alas, here's your chance to finally learn to like probability. We'll be covering the important stuff and giving you the opportunity to extend your understanding through an optional challenge. The test will be on Thursday, November 17. On Friday, November 18th we will have our annual casino day. We would appreciate adult help on this day, especially from parents who have some experience watching chips pass back to the "house." If you want to design a casino game of chance where you will be the "house" and the students will play against you, see Mrs. L this week.

Please be safe on Tuesday. Good luck to the GHP interviewees. See you all on Wednesday.