# GNE 331 – LAU- Package 1

Probability and Statistics is a course that equips you with the necessary tools for making wise decisions in the face of uncertainty.

In section 1, you will learn the difference between a population and a sample, as well as the difference between descriptive and inferential statistics. In this chapter we focus on descriptive statistics and the various methods we can use to organize and display data that we collect from a sample in an attempt to draw conclusions about the whole population. You will learn how to organize the data into frequency and relative frequency distribution tables, and how to use these tables to display the data on bar graphs, histograms, pie charts, and boxplots. Moreover, you will learn how to calculate measures of center and measures of variability that statisticians use as sample representatives.

In section 2, we recall important definitions from set theory that we will use extensively for counting and probability. We learn the meaning of probability, sample space, events and relationships between events. We also learn how to use Venn Diagrams and Tree Diagrams to simplify problems. Finally, we learn the concept of independence of events as well as conditional probability.

In section 3, we learn the various techniques we can use to count the number of elements in a given set. We learn the multiplication rule for counting, the use of factorials, permutations and combinations. We also learn an extra bunch of problem-specific counting techniques such as permutations involving fixing positions and/or fixing order.

In section 4, we define a random variable and its two types (discrete and continuous). We also define probability mass functions, cumulative distribution functions, expected value and variance. Furthermore, We dig deeper into discrete random variables and their distributions: Bernoulli distribution, Binomial distribution, Hypergeometric distribution, geometric distribution, negative binomial distribution, and Poisson distribution.

• ##### Section 1: Descriptive Statistics

In this section we give an overview on probability and statistics. Here you will learn how to conduct the first part of any statistical research: Organizing and visualizing data through histograms, pie charts, boxplots and bar graphs. Moreover, you will learn about the measures of center and variability and how to calculate them.

• ##### Section 2: Sample Space, Events, and Set Theory

In this section, we review some important concepts from set theory (sets, events, and their relationships). We also define probability, conditional probability, and the concept of independence of events.

• Lesson 1: Probability, Sample Space, and Events
13 min
• ##### Section 3: Counting Techniques

In this section, you learn various counting techniques that will help you determine the number of elements in a given set. You will use the concepts discussed in this chapter to count the number of elements in the sample space and the event under study and use them to find probabilities of events.

• Lesson 1: Multiplication Rule
18 min
• ##### Mock Exams (Sections 1-3)

Below you will find mock exams that cover all the concepts explained in this package.

• ##### Section 4: Discrete Probability Distributions

In this section we define a random variable and its two types: discrete and continuous random variables. Furthermore, we dig deeper into discrete random variables and their probability distributions.

• Lesson 1: Discrete and Continuous Random Variables
11 min ##### Rateeb Yehya
I am Rateeb Yehia, your Civil Engineering and Statistics tutor at 01TUTOR. I am an AUB graduate in Civil and Environmental Engineering with a 3.8/4.0 GPa. I have been tutoring college students full time for 3 years. I have taught 400+ students to 15+ universities in Lebanon, Canada, Saudi Arabia, and USA courses in Civil Engineering and Statistics. My mission is to help college students recognize the beauty of the courses I teach, as well as provide them with the necessary tools to score high on their exams with minimum time. My student results can be checked out @01tutor on Instagram. Join me for a fast and efficient learning experience.

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Price 69.99\$ 49.99\$
Instructor Rateeb Yehya
Duration 100 days
Lectures 91
Enrolled 11 students