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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Probability and Statistics II: Random Variables – Great Expectations to Bell Curves program is an online and self-paced course where the candidates can feel free to take the course at any time through devices with a good internet connection. The basic knowledge required for the random variables is also offered as Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification syllabus and materials to the students who join this course.

This is an intermediate-level course that teaches them the concepts of continuous and discrete random variables. The topics include variance, joint random variables, expected value, bivariate random variables, univariate random variables; functions of random variables, and moment-generating function are covered in this course.

The Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification consisting of the institution logo and the signature of the instructors from Georgia Tech is given to the candidates who complete the course. Learners who joined the course in the verified track will be given a shareable certificate which can be shared with platforms like LinkedIn and added to the resume to get more career opportunities. Those who choose to audit for free will be given only a limited duration of access.

The Highlights

Course duration is 4 weeks
Course offered by edX
Verified certificate from Georgia Tech
Self-paced course
Online course
Video transcripts in English
Intermediate course
Shareable certificate from GTx
Only 6 to 12 hours per week efforts required

Programme Offerings

Video transcripts
assignments
videos
activities
quizzes
Discussion Forums

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 16449	yes	Georgia Tech

The fees are not required to be paid for registration.
The students need to deposit ₹16,449 as the Probability and Statistics II: Random Variables –Great Expectations to Bell Curves fees

Fee Category	Amount
certification fee	₹16,449
Registration fee	Free

Note: Discounts on the fess can be availed by the students who enroll in this course by applying the coupons if given on the website at the time of payment.

Eligibility Criteria

Work Experience

The Probability and Statistics II: Random Variables – Great Expectations to Bell Curves certification course expects the candidates to have had exposure to computer programming, R freeware statistics, and excel.

Education

The participants are expected to have some basic knowledge in calculus basics and set theory. To get the course materials for these topics, they can refer to the A Gentle Introduction to Probability course given earlier. They will also get access to the prerequisite materials as the program will be a self-contained program.

Certification Qualifying Details

The students who are all pursuing the verified track i.e. the paid course for the certification of the Probability and Statistics II: Random Variables – Great Expectations to Bell Curves online course given by edX will issue a verified certificate if they maintain a passing score of 59% or more. They should complete the given activities, tasks, and graded assignments on time.

What you will learn

Statistical skills

The students taking the Probability and Statistics II: Random Variables – Great Expectations to Bell Curves by edX will gain knowledge in the below-given topics

They will be able to recall the topics like correlation and independence in random variables.
The usage of the random variable functions in the simulation applications of the computer will be familiar for them.
Identification of continuous and discrete random variables will be so simple for the students who join this Probability and Statistics II: Random Variables –Great Expectations to Bell Curves course.
The more detailed coverage of the univariate random variables and bivariate random variables helps the candidates to learn in-depth.
Concepts like variance, expected value, moment generating values which are the properties of the random variables will be thorough by the candidates.
Recognizing the marginal and conditional information and the joint random variables are easily done by the students during the course.
There are many optional concepts such as random sums of random variables and standard conditioning arguments available which will surely help the students to learn more about the Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification course
Many problems in various topics are given so as to make the candidates master the topics and concepts covered.
The topics related to the upcoming Statistical courses are learned by the students from this course.

Who it is for

The following students are recommended to attend the Probability and Statistics II: Random Variables – Great Expectations to Bell Curves by edX-

The candidates who desire to gain in-depth skills and learnings about probability and statistics.

Admission Details

The users can be admitted to the Probability and Statistics II: Random Variables – Great Expectations to Bell Curves program through the procedure given below-

Step 1: The users must visit the link- https://www.edx.org/course/probability-and-statistics-ii-random-variables-great-expectations-to-bell-curves by clicking on it.

Step 2: If they already have an account in edX, they can sign indirectly.

Step 3: If the candidates are newly enrolling, they must create an edX account through email-id or Facebook or Google account, and then they must sign in.

Step 4: The students should enroll in the course by searching for it in Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification.

Step 5: Immediately after enrolling, they are admitted to the free track of the course.

Step 6: They may change the Probability and Statistics II: Random Variables –Great Expectations to Bell Curves course to the verified track to get a certificate by completing the payment.

Step 7: The verification of payment is done and they will be admitted to the verified track.

Step 8: Upon successful completion of the course, they will be given a verified certificate from Georgia Tech offered by edX.

The Syllabus

Lesson 1: Introduction (FCPS §2.1)
Lesson 2: Discrete Random Variables (FCPS §2.2)
Lesson 3: Continuous Random Variables (FCPS §2.3)
Lesson 4: Cumulative Distribution Functions (FCPS §2.4)
Lesson 5: Great Expectations (FCPS §2.5.1)
Lesson 6: LOTUS, Moments, and Varience (FCPS §2.5.2)
Lesson 7 [OPTIONAL]: Approximations to E[h(X)] and Var(h(X)) (FCPS §2.5.3)
Lesson 8: Moment Generating Functions (FCPS §2.6)
Lesson 9: Some Probability Inequalities (FCPS §2.7)
Lesson 10: Functions of a Random Variable (FCPS §2.8.1)
Lesson 11: Inverse Transform Theorem (FCPS §2.8.2)
Lesson 12 [OPTIONAL]: Honors Bonus Results (FCPS §2.8.3)

Lesson 1: Introduction (FCPS §§3.1.1−3.1.3)
Lesson 2: Marginal Distributions (FCPS §3.1.4)
Lesson 3: Conditional Distributions (FCPS §3.2)
Lesson 4: Independent Random Variables (FCPS §3.3.1)
Lesson 5: Consequences of Independence (FCPS §3.3.2)
Lesson 6: Random Samples (FCPS §3.3.3)
Lesson 7: Conditional Expectation (FCPS §3.4.1)
Lesson 8: Double Expectation (FCPS §3.4.2)
Lesson 9 [OPTIONAL]: First-Step Analysis (FCPS §3.4.3)
Lesson 10 [OPTIONAL]: Random Sums of Random Variables (FCPS §3.4.3)
Lesson 11 [OPTIONAL]: Standard Conditioning Argument (FCPS §3.4.3)
Lesson 12: Covariance and Correlation (FCPS §3.5.1)
Lesson 13: Correlation and Causation (FCPS §3.5.2)
Lesson 14: A Couple of Worked Correlation Examples (FCPS §3.5.3)
Lesson 15: Some Useful Covariance / Correlation Theorems (FCPS §3.5.4)
Lesson 16: Moment Generating Functions, Revisited (FCPS §3.6)
Lesson 17 [OPTIONAL]: Honors Bivariate Functions of Random Variables (FCPS §3.7)

Evaluation process

No specific exams are given for the candidates to clear to join this course. The Probability and Statistics II: Random Variables – Great Expectations to Bell Curves online course is flexible for all the students to get benefited from learning this.

Instructors

Georgia Tech Frequently Asked Questions (FAQ's)

1: Is there any specific subject related to this program?

The course is related to the subject of Data analysis and statistics. The participants will feel easy to learn this if they have some prior knowledge.

2: Is there any way to learn the prerequisite?

Of course, this course has a companion course called “A Gentle Introduction to Probability” which will fulfill the prerequisite for Probability and Statistics II: Random Variables – Great Expectations to Bell Curves program

3: Does this course contain more programming?

A little programming is required. But that can be handled if the candidates know Excel or Matlab or some other programming applications.

4: Is this an offline course?

No, the course is an online and self–paced course where they require hardware like smartphones or laptops with a good internet connection.

5: What is the length of this program?

The length of this Probability and Statistics II: Random Variables –Great Expectations to Bell Curves course is 4 weeks which is enough for the candidates to complete it with 6 to 12 hrs per week effort only.

6: Which institution is taking the course?

The Georgia Institute of Technology is taking the Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification course. David Goldsman is the instructor for this course.

7: What is the way to earn a certificate?

After enrolling in the program, the students need to upgrade themselves to the verified track by the certification fee which is the way in which the candidates can gain unlimited access to the course materials and earn a certificate at the end of the course.

8: What does the certificate consist of?

The Probability and Statistics II: Random Variables –Great Expectations to Bell Curves certification is valuable as it consists of the logo of the institution and their instructor’s signature. This certificate is also a candidate’s identification verified through webcams or camera and photo identification card.

9: What are the methods used to teach the participants?

The teachings are given through video lectures, assignments, and activities. The students can also clear their doubts through discussion forums conducted periodically.

10: Do the candidates require any work experience?

The Probability and Statistics II: Random Variables –Great Expectations to Bell Curves online course does not require any prior work experience. They can visit the website for more detailed information if they want.

11: Is there any prerequisite given for this course?

Yes, the students who have some basic ideas about set theory, calculus, and computer programming like Excel will have good learning from this Probability and Statistics II: Random Variables –Great Expectations to Bell Curves course.