Sample Space
52 min 15 Examples
- Introduction to Video: Sample Space and Events
- Identifying sample points and sample spaces (Examples #1-3)
- Identifying statements and rules for large or infinite sample spaces (Examples #4-5)
- What is an event? How do we identify subspaces (Example #6)
- Identify the sample space and desired events (Examples #7-8)
- Finding complements of an event (Example #9)
- Identify the complement of each event (Examples #10-11)
- Overview of Intersection, Union and Disjoint Events and Venn Diagrams
- Identify the Intersection and Union or Shade the Venn Diagram (Examples #12-15)
Probability Formula
1 hr 25 min 11 Examples
- Introduction to Video: Probability of an Event
- How do you find the probability of an event? (Examples #1-3)
- Find the probability of two or more events (Examples #4-5)
- Find the probability by first using combinations and law of large numbers (Example #6)
- Additive Rules and Complementary Rules for Probability (Example #7)
- Create Venn diagrams and find the probability (Examples #8-9)
- Create Venn diagram for three events and find the probability (Example #10)
- Create a Tree diagram and find the probability (Example #11)
- Review of Probability Laws
Conditional Probability
1 hr 43 min 8 Examples
- Introduction to Video: Conditional Probability
- Overview of Conditional Probability, Multiplication Rule, Independence and Dependence
- Find the probability using the addition rule and multiplication rule given tables (Examples #1-2)
- Find the probability and conditional probability (Example #3)
- Create a Venn diagram and find the conditional probability (Example #4)
- Find the probability by first creating a tree diagram and using independence (Example #5)
- Find the probability by using a geometric series and the complement rule (Example #6)
- Find the conditional probability given a two-way table (Example #7)
- Find the conditional probability of an electrical circuit (Example #8)
Bayes Theorem
1 hr 17 min 7 Examples
- Introduction to Video: Bayes’s Rule
- Overview of Total Probability Theorem and Bayes’s Rule
- Use Bayes’s Rule to find the probability a product is made by a particular machine (Example #1)
- Use Bayes’s Theorem to find the probability (Examples #2-3)
- If a random product is found defective, which plan is most likely responsible? (Example #4)
- Find the probability using Bayes’s Rule (Examples #5-6)
- Overview of Prevalence, Specificity and Sensitivity
- Given the prevalence, specificity and sensitivity of a disease create a tree diagram and find the probability (Example #7)
Chapter Test
1 hr 14 min 13 Practice Problems
- Create tree diagram and identify sample set(Problem #1)
- Are the pairs of events mutually exclusive (Problem #2)
- Find conditional probabilities given two-way table (Problem #3)
- Find the conditional probability without replacement (Problem #4)
- Create Venn diagram and determine probabilities (Problem #5)
- Find probability of getting Yahtzee on first roll (Problem #6)
- Find the probability for the given contingency table (Problem #7)
- What is the probability the electrical circuit works (Problem #8)
- How many bridge hands are possible for given conditions (Problem #9)
- Select a group of 3 for the following conditions (Problem #10)
- Find the probability (Problem #11)
- Given the probability of choosing three defective products (Problem #12)
- Use Baye’s Rule to find the probability a person has a disease given a positive result (Problem #13)
