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This discipline is an introduction to the study of probability, interpretation of data, and fundamental
statistical problem solving. Mastery of this academic content will provide students with a solid
foundation in probability and facility in processing statistical information.

1.0

Students know the definition of the notion of independent events and can use the rules for addition, multiplication, and complementation to solve for probabilities of particular events in finite sample spaces

Relationships of Probability

http://www.regentsprep.org/Regents/math/mutual/Lindep.htm

2.0

Students know the definition of conditional probability and use it to solve for probabilities in finite sample spaces.

What is Probability?
Probability of Events
Conditional Probability

http://www.mathgoodies.com/lessons/vol6/conditional.html

3.0

Students demonstrate an understanding of the notion of discrete random variables by using them to solve for the probabilities of outcomes, such as the probability of the occurrence of five heads in 14 coin tosses.

Data Classification, Range, and Midrange
Permutation and Combination
Discrete Probability Distribution

http://www.mathsrevision.net/alevel/statistics/discret
e_random_variables.php

4.0

Students are familiar with the standard distributions (normal, binomial, and exponential) and can use them to solve for events in problems in which the distribution belongs to those families.

Mean and Variance of Random Variable

http://www.stat.yale.edu/Courses/1997-98/101/normal.htm

5.0

Students determine the mean and the standard deviation of a normally distributed random variable.

Standard Deviation of Random Variable

http://www.ltcconline.net/greenl/courses/201/probdis
t/random.htm

6.0

Students know the definitions of the mean, median, and mode of a distribution of data and can compute each in particular situations.

Geometric Mean, Harmonic Mean, and
Weighted Arithmetic Mean

http://www.schoolofed.nova.edu/edl/secure/s
tats/lesson1.htm

7.0

Students compute the variance and the standard deviation of a distribution of data.

Mean and Variance of Random Variable

http://www.stoller-eser.com/raddeviation.htm

8.0

Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.

Graphs and Statistical Presentation
Position Formula and Finding Median in Frequency Distribution Table

http://www.learner.org/channel/courses/learningm
ath/data/session2/part_c/index.html