Download Applied Statistics Midterm I Review 1. Chapter 1: Basics (a) Measures of Center

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Applied Statistics
Midterm I Review
1. Chapter 1: Basics
(a) Measures of Center
i. Sample Mean
ii. Median
(b) Measures of Variability
i.
ii.
iii.
iv.
Variance/Standard Deviation
Quartiles: Q1 , Q3
Range
5 number summary/ Box-plot
2. Chapter 2: Probability
(a) Sample Space of an experiment
(b) Definition of Events
(c) Set notation/Venn diagrams
(d) Axioms of Probability
(e) Properties of the probability function
(f) Probability of and event when all outcomes are equally likely
(g) Counting techniques
i. Product Rule/Counting k-tuples
ii. Permutations
iii. Combinations
(h) Conditional Probability
i.
ii.
iii.
iv.
Definition of conditional probability
Multiplication Rule
Law of Total Probability
Bayes’ Theorem
(i) Independence
i. Definition of Independence of Events; Both mathematical and
heuristic.
ii. Equivalent definitions of independence and their uses.
3. Chapter 3: Random Variables
(a) Definition of a random variable
(b) Definition of a discrete RV versus a continuous RV
(c) Probability mass function (pmf) of a discrete random variable.
(d) Parameter Families of random variables (Examples: Bernoulli(α) and
Geometric(α).)
(e) Cumulative Distribution Function (CDF) of a discrete random variable.
(f) Expected Value of Discrete RVs
(g) Variance of Discrete RVs
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