Probability & Biostatistics
Dr. Basma M. Hassan
Faculty of Artificial Intelligence
Kafr el-sheikh University
2022/2023
Lecture 6
Contents
1.
Types of Random Variables
2.
Continuous Probability Distributions
3.
The Normal Distribution
4.
The standard Normal Distribution
5.
The standard Normal Distribution Tables
6.
The Normal Approximation to the Binomial Distribution
Types of
Random
Variables
Random
Variables
Continuous Random Variables
Continuous probability distribution
Probability as area under Function (Density curve)
Continuous Probability distribution
 The Normal Distribution
 The Uniform Distribution
 The Log-Normal Distribution
 The Gamma Distribution
 The Beta Distribution
 The Weibull Distribution
The Normal Distributions
The Normal Distributions
Graph of normal probability
Properties of Normal distribution
Mean and Standard deviations
Mean and Standard deviations
The Standard Normal
Distributions
Transformation The Standard Normal Distributions
The standard normal distribution
The standard normal distribution
The standard normal probabilities
Lecture 7
Contents
1.
The Standard Normal Distribution
2.
The Standard Normal Distribution Tables
3.
The Normal Approximation to the Binomial Distribution
The standard normal distribution tables
Normal Probability
Example 1
Example 3
Example 4
Example 4
Example 4
Example 4
Example 4
Example 4
Example 4
Example 5
Example 5: Solution
Lecture 8
Contents
1. Populations and Samples
2. The Sampling Distributions of the mean
 The Sampling Distribution of the σKnown - z-distribution
 The Sampling Distribution of the σ unknown  t-distribution
3. The Sampling Distribution of the variance  X2 -distribution
4. F - Distribution
The standard normal probabilities
Descriptive Statistics
Descriptive vs Inferential Statistics
Populations and Samples
Sampling Distributions
Sampling Distributions
Sampling Distributions
Sampling Distributions
Example 1
Example 2
Example 3
Example 3
Example 4
Example 4
Example 4
Example 4