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Midterm

MATH 011 Study Guide - Midterm Guide: Chart Attack, Product Rule, Study Guide

Department
Mathematics
Course Code
MATH 011
Professor
Jarchow
Study Guide
Midterm

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MATH111 Exam 2 Study guide
Key concepts covered:
I. Rules of probability
II. Use of counting techniques in probability
III. conditional probability and independent events
IV. Bayes Theorem
V. Distribution of random variables
VI. Expected Value
I. Rules of probability
1. properties of probability
1. Probability of event (E) is greater than or equal to 0 for any event
2. Probability of the total sample space (S) is equal to 1
3. If two separate events (E) or (F) are mutually exclusive, then the probability of their
union is equal to the sum of the probability of the two events
1. P(E U F) = P(E) + P(F)
4. Property three only applies if the events are mutually exclusive (no event E is included
in event F). The general case for two events is the addition rule. Which states that the
probability of the union of events E and F is equal to the sum of the two probabilities
minus the intersection
1. P(E U F) = P(E) + P(F) – P(E ∩ F)
5. The probability of the compliment of event E is 1 minus the probability of E
1. P(E^c) = 1 – P(E)
II. Use of counting techniques in probability