Taruna Bansal
Experienced tutor helping for grade improvement
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Taruna Bansal
Bachelors degree
/ 55 min
AP tutor test prep specialities
Test taking techniques
Test prep
College Credit
Grade improvement
Practice Exams
AI modules
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AP concepts taught by Taruna
The Tutor and Student practiced finding z-scores from area, converting between z-scores and x-values, and applying the central limit theorem. The student worked through several word problems, identifying key information and applying appropriate formulas. They planned to continue working on probability problems and to review earlier units in upcoming sessions.
Percentiles and Z-Scores
Finding Probabilities using Central Limit Theorem
Sampling Distribution: Sample Mean and Standard Deviation
Central Limit Theorem (CLT) Introduction
Converting Z-Scores to X-Values
Finding Z-Scores from Cumulative Area
The session focused on normal and standard normal distributions. The Student practiced finding standard deviations from graphs, converting to Z-scores, and using Z-tables to calculate probabilities and areas under the curve. Homework was assigned from exercises 5.1 and 5.2, with a plan to cover the remaining chapters in the next session.
Using the Z-table
Normal Distribution Curve Properties
Standard Deviation and Spread
Probability Density Function (PDF)
Standard Normal Distribution and Z-scores
Area Under the Standard Normal Curve
The Tutor and Student reviewed binomial, geometric, and Poisson distributions, focusing on calculations and applications. The Student practiced identifying the correct distribution for various word problems and using formulas to calculate probabilities. Homework includes further practice questions and review of chapter 3.
Geometric Distribution
Binomial Distribution
Pascal's Triangle
Using Calculators for Binomial Calculations
At Least/Fewer Than Probabilities
Binomial Distribution Table
Mean
Variance
The session focused on probability distributions, covering discrete and continuous random variables, probability distribution tables, and calculations of mean, variance, and standard deviation. The student practiced identifying variable types, constructing probability distributions, and calculating statistical measures. Homework includes practicing review questions related to these concepts and a plan to cover binomial distribution in the next session.
Discrete Probability Distribution
Discrete vs. Continuous Random Variables
Random Variables
Verifying Probability Distributions
Mean (Expected Value) of a Discrete Probability Distribution
Variance and Standard Deviation
Expected Value Application
The session reviewed probability with addition rules, including mutually exclusive events. The Student learned about permutations and combinations, working through examples to differentiate when to use each method. The Student was assigned review questions and a chapter test for the next class, along with starting a new chapter.
Addition Rule of Probability
Factorials
Permutations
Combinations
Applying Combinations to Probability
The session covered probability calculations, including conditional probability, Bayes' theorem, and the addition rule. The student worked through several word problems, focusing on identifying key information and applying the correct formulas. Review exercises were assigned for further practice, with a focus on sections 3.1, 3.2, and 3.3 up to a specific question.
Addition Rule of Probability
Bayes' Theorem Applications
Multiplication Rule for Dependent Events
Unusual Events and Probability Thresholds
Probability of 'Neither' Event
Probability Without Replacement
Mutually Exclusive Events
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