Handout week 47

AP Stats course Teacher: Hans van der Zwan Handout week 47

Literature Starnes D. S., et al. (2015). The Practice of Statistics (5th ed.). New York: W. H. Freeman and Company/BFW.

Handout per lesson

Lesson 1 Sun 2022-11-20

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	4.5	Conditional Probability	VAR-4.D	Calculate conditional probabilities. [Skill 3.A]

Preparation for lesson

See homework previous lesson

Theory

Topic: conditional probabilities Book: pp. 318-326

Class Activities

Discuss

notation issues
exercise week 46, lesson 5
rules for calculating conditional probabilities, p. 319 below
- exercise 5.63
probability tree diagram: rolling a dice two (or more) times
- independent events, definition on p. 327
probability tree diagram: choosing 2 students out of 13, 8 females and 5 males, at random
- dependent events
- exercise 5.77
general multiplication rule
- special case: independent events

Lab

Exercise 5.77

Homework

exercises mentioned if not made during class
study pp. 318-326, pay special attention on definitions, rules and the example on p. 325

Lesson 2 Mon 2022-11-21

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	4.6	Independent Events and Unions of Events	VAR-4.E	Calculate probabilities for independent events and for the union of two events. [Skill 3.A]

Preparation for lesson

See homework previous lesson

Theory

Book: pp. 326-333

Class Activities

Discuss

questions about home work exercises
the difference between P(A|B) and P(B|A)
independent and dependent events

General rule To check whether two events are independent, use one of these rules:

Two events A en B are independent if and only if \(P(A \cap B) = P(A) \times P(B)\)
Two events A en B are independent if and only if \(P(A|B) = P(A)\)
Two events A en B are independent if and only if \(P(B|A) = P(B)\)

Homework

Review Chapter 5

Homework Assignment

hand in (Google Classroom): exercise 5.81; deadline Tuesday November 23, 10:00AM

Lesson 3 Tue 2022-11-22

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1A	Identify the question to be answered or problem to be solved (not assessed).	4.1	Introducing Statistics: Random and Non-Random Patterns?	VAR-1.F	Identify questions suggested by patterns in data. [Skill 1.A]
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	4.2	Estimating Probabilities Using Simulation	UNC-2.A	Estimate probabilities using simulation. [Skill 3.A]
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	4.3	Introduction to Probability	VAR-4.A	Calculate probabilities for events and their complements. [Skill 3.A]
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	4.5	Conditional Probability	VAR-4.D	Calculate conditional probabilities. [Skill 3.A]
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	4.3	Introduction to Probability	VAR-4.B	Interpret probabilities for events. [Skill 4.B]
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	4.4	Mutually Exclusive Events	VAR-4.C	Explain why two events are (or are not) mutually exclusive. [Skill 4.B]

Preparation for lesson

See homework previous lesson

Class Activities

Conditional Probabilities
Chapter 5 review
MC quiz

Homework

Study pp. 338-339, Chapter Review or Watch 4.6 Daily Video 3.

Hand in Homework

Finish Unit 4 Progress Check MCQ Part A on AP Classroom

Lesson 4 Wed 2022-11-23

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
2B	Construct numerical or graphical representations of distributions.	4.7	Introduction to Random Variables and Probability Distributions	VAR-5A	Represent the probability distribution for a discrete random variable. [Skill 2.B]
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	4.7	Introduction to Random Variables and Probability Distributions	VAR-5B	Interpret a probability distribution. [Skill 4.B]

Theory

Topic: Discrete Random Variables Book: pp. 347-352

Preparation for lesson

None

Class Activities

Discuss pp. book 347-352
Example: answering 5 MC questions with 4 alternatives at random; X: the number of correct answers

Homework

Study section 6.1

Homework to hand in

Watch 4.7 Daily Video 1 Watch 4.7 Daily Video 2

Watch the video’s, write down the ‘take aways’. Upload the document with the ‘take-aways’ on Google Classroom

Lesson 5 Thu 2022-11-24

Learning Objectives

Class Activities

No class today