مدخل إلى الاحتمالات والاحصاء

خالد السيد

معيد

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Chapter1: Descriptive Statistics

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What’s Data?

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What’s Statistics?

Population and Sample

Parameter and Statistic

Types of Data

Variable

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Frequency distribution

Frequency Table (Nominal, Ordinal, Discrete) (1)

Frequency Table (Nominal, Ordinal, Discrete)(2)

Frequency Table (Continuous)

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Two directional bar chart, Multiple bar chart, Stacked bar chart

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Pearson coefficient of Skewness

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Skewness

Kurtosis

Coefficient of Variation

Range

VARIANCE

Variance Exercise part 1

Variance Exercise part 2

Variance Exercise part 3

Chapter2: Probability

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Distinguishable Permutations

Combinations

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TYPES OF EXPERIMENTS – TYPES OF SPACE OF ELEMENTARY EVENTS -Algebra of Events – OPERATIONS ON EVENTS -Types of Events

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Relative Frequency of Event

Laplace Principle of Probability part 1

Laplace Principle of Probability part 2

ADDITIVE LAW IN THE PROBABILITY CALCULATION part 1

ADDITIVE LAW IN THE PROBABILITY CALCULATION part 2

ADDITIVE LAW IN THE PROBABILITY CALCULATION part 3

ADDITIVE LAW IN THE PROBABILITY CALCULATION part 4

ADDITIVE LAW IN THE PROBABILITY CALCULATION part 5

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conditional probability- MULTIPLICATION LAW IN THE PROBABILITY CALCULATION- INDEPENDENT EVENTS- Total Probability

MULTIPLICATION LAW IN THE PROBABILITY CALCULATION part 1

MULTIPLICATION LAW IN THE PROBABILITY CALCULATION part 2

INDEPENDENT EVENTS part 1

INDEPENDENT EVENTS part 2

Total Probability part 1

Total Probability part 2

Chapter3: Random Variables and Probability Distributions

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RANDOM VARIABLES AND THEIR DISTRIBUTIONS

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Discrete Random Variable

Distribution Function of a Discrete Random Variable

Moments of a Discrete Random Variable part 1

Moments of a Discrete Random Variable part 2

the binomial distribution part 1

the binomial distribution part 2

the binomial distribution part 3

The Poisson distribution part 1

The Poisson distribution part 2

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The Concept of Continuous Random Variable part 1

The Concept of Continuous Random Variable part 2

Moments of a Continuous Random Variable

The exponential distribution part 1

The exponential distribution part 2

THE NORMAL DISTRIBUTION

Chapter4: Introduction To Statistical Inference

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(Estimator)

The Central Limit Theorem

SAMPLING DISTRIBUTION OF A SAMPLE PROPORTION P̂

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Point Estimation

CONFIDENCE INTERVAL FOR A POPULATION MEAN

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SAMPLE SIZE DETERMINATION WHEN ESTIMATING p -part 1

SAMPLE SIZE DETERMINATION WHEN ESTIMATING p -part 2

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SETUP HYPOTHESES

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STEPS IN HYPOTHESES TESTING OF POPULATION MEAN – part 1

STEPS IN HYPOTHESES TESTING OF POPULATION MEAN – part 2

STEPS IN HYPOTHESES TESTING OF POPULATION MEAN – part 3

P-VALUE APPROACH FOR HYPOTHESES TESTING OF POPULATION MEAN

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P-VALE APPROACH FOR HYPOTHESES TESTING OF POPULATION PROPORTION – part 1

P-VALE APPROACH FOR HYPOTHESES TESTING OF POPULATION PROPORTION – part 2

Chapter5: Correlation and Regression

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Introduction

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