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Remember: All of our classroom courses are available as live instructor-led training which you can attend from home.

Remember: All of our classroom courses are available as live instructor-led training which you can attend from home.

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Classroom Training

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At The Knowledge Academy, our classroom-based training courses allow delegates to study and learn in a friendly, engaging, and interactive environment. We ensure the very best level of teaching, with first-rate instructors, resources, and state-of-the-art facilities. We provide courses of varying durations and can arrange weekend and residential courses in order to suit your requirements.

Furthermore, our classroom courses are carried out in thousands of locations worldwide, making training easily accessible wherever you are. Our courses typically begin at 9.00 am and continue until 5.00 pm each day, with breaks and refreshments provided. , As our most popular form of training available, we pride ourselves in continuously delivering an outstanding learning experience for our delegates in the classroom.

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  • Direct support from our experienced trainers throughout the course
  • Training courses available in thousands of locations globally
  • Partake in engaging and valuable activities in the classroom to boost your learning potential
  • Receive an all-encompassing learning experience

Online Training

Our online-based training courses aim to provide you with a complete training experience. Due to their flexibility, these courses are greatly suited to busy working professionals, or any individual who would prefer the convenience of an online training course.

Our Computer-Based Training (CBT) courses remove the time and cost associated with travelling to course locations. You can complete your chosen course in any location, and work at your own pace, as the learning portal can be accessed 24/7. All of our online training courses have technical and administrative support and mobile access. Furthermore, each course has been carefully designed to incorporate informative, instructive, and engaging content. In this way, online learning can guarantee a valuable and enjoyable training solution.

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  • Our flexible online courses provide you with 24/7 access
  • Take your time with 90 days from first login to complete the course
  • Enjoy an engaging and interactive learning experience
  • Courses available through our easy-to-use learning portal

Onsite Training

Our Onsite training option allows you to select any of our courses and receive training at a venue of your choice, by any method of your choice.

Onsite courses deliver training to multiple employees at once, thus reducing travel expenses and providing you with the ultimate convenience and value for money. In addition, this option allows you to receive a training course that has been specifically tailored to meet your business needs, ensuring first-class quality, applicability, and value.

By choosing to bring bespoke training to the office, you can improve business performance, and make your organisation more streamlined, resourceful, and profitable. With over 25 years’ of experience, we are the market-leaders of Onsite training.

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  • Reduce the costs of employees taking time away from the workplace to train
  • Streamline your business with this bespoke training solution
  • Maximise your training budget
  • Monitor your employees’ progress and ensure that they receive applicable qualifications

Virtual Training

Our Virtual training courses provide you with the option to learn using a specialised simulated virtual environment. In this environment, our expert training instructors will be able to convey information and provide you with the all the knowledge you require to earn your qualification with The Knowledge Academy. As the largest global training provider, this method of training allows us to extend our training scope to those who may not be able to attend a classroom course itself, but would like to receive direct training and support from an instructor.
Using this training delivery method, you would benefit from the convenience of remote access and the elimination of the time and cost associated with travelling to a training venue.

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  • Receive direct support from our experienced trainers
  • Acquire the benefits of a classroom course, without the need to travel
  • Train from the comfort of your own home using remote access
  • All virtual training courses come with technical and administrative support

Probability And Statistics For Data Science in Manchester

Key points about this course

Duration: 2 Days *

Rating: Excellent

Language: English

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  • Gain knowledge of random variables and multivariate random variables.
  • Learn about the convergence of random processes and Markov chains.
  • Become familiarised with Bayesian statistics, hypothesis testing, and linear regression.

Available delivery methods for this course

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Online Instructor-Led

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Online Self-Paced

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Dates & Prices

Select your preferred delivery method

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Thu 23rd Apr 2020
Places available
Thu 14th May 2020
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Thu 28th May 2020
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Thu 18th Jun 2020
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Thu 9th Jul 2020
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Thu 16th Jul 2020
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Thu 20th Aug 2020
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Thu 10th Sep 2020
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Thu 10th Sep 2020
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Thu 22nd Oct 2020
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Thu 12th Nov 2020
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Thu 19th Nov 2020
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Thu 3rd Dec 2020
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Key points about this course

Duration: 2 Days

Support: 24/7

Course Information

Probability and Statistics for Data Science​ Training Course Overview

Probability is the most fundamental skill required to be successful in the business world. This Probability and Statistics for Data Science training course is designed to acquaint delegates with the most fundamental concepts in the field of probability. The course will equip delegates with the knowledge about probability and statistics to tackle the problems related to business and data science.

The Knowledge Academy’s Probability and Statistics for Data Science training is crafted to equip delegates with a comprehensive understanding of complicated probabilistic concepts. This course will take your career to the next level, which is of probability, Bayesian probability, conditional probability, and probability distributions.

During this 2-day course, delegates will learn about discrete and continuous random variables. The course will teach delegates how to generate multivariate random variables. In addition, delegates will gain knowledge gaussian and poisson process. Post completion of this training, delegates will become familiarised with parametric and nonparametric testing.

Probability and Statistics for Data Science​ Training Course Outline

The following modules will be covered during this Probability and Statistics for Data Science Course:

Basic Probability Theory

  • Probability Spaces
  • Conditional Probability
  • Independence

Random Variables

  • Definition
  • Discrete Random Variables 
  • Continuous Random Variables
  • Conditioning on an Event
  • Functions of Random Variables
  • Generating Random Variables
  • Proofs

Multivariate Random Variables

  • Discrete Random Variables
  • Continuous Random Variables
  • Joint distributions of Discrete and Continuous Variables
  • Independence
  • Functions of Several Random Variables
  • Creating Multivariate Random Variables
  • Rejection Sampling


  • Expectation Operator
  • Mean and Variance
  • Covariance
  • Conditional Expectation
  • Proofs

Random Processes

  • Definition
  • Mean and Autocovariance Functions
  • Independent Identically-Distributed Sequences Gaussian Process
  • Poisson Process
  • Random Walk

The convergence of Random Processes

  • Types of Convergence Law of Large Numbers
  • Central Limit Theorem
  • Monte Carlo Simulation

Markov Chains

  • Time-Homogeneous Discrete-Time Markov Chains
  • Recurrence
  • Periodicity
  • Convergence
  • Markov-Chain Monte Carlo

Descriptive Statistics

  • Histogram
  • Sample Mean and Variance
  • Order Statistics
  • Sample Covariance
  • Sample Covariance Matrix

Frequentist Statistics

  • Independent Identically-Distributed Sampling
  • Mean Square Error
  • Consistency
  • Confidence Intervals
  • Nonparametric Model Estimation
  • Parametric Model Estimation
  • Proofs

Bayesian Statistics

  • Bayesian Parametric Models
  • Conjugate Prior
  • Bayesian Estimators

Hypothesis Testing

  • The Hypothesis-Testing Framework
  • Parametric Testing
  • Nonparametric Testing: The Permutation Test
  • Multiple Testing

Linear Regression

  • Linear Models
  • Least-Squares Estimation
  • Overfitting


There are no formal prerequisites for attending this course.


Anyone interested in learning how to apply probability and statistics to data science can attend this course.

Please arrive at the venue at 8:45am.
There are no formal prerequisites for attending this course.
Anyone interested in learning how to apply probability and statistics to data science can attend this course.
We are able to provide support via phone & email prior to attending, during and after the course.
Delegate pack consisting of course notes and exercises, Manual, Experienced Instructor, and Refreshments
This course is 2 days.
Once your booking has been placed and confirmed, you will receive an email which contains your course location, course overview, pre-course reading material (if required), course agenda and payment receipts
The price for Probability and Statistics for Data Science Training certification in Manchester starts from £1995
The Knowledge Academy is the Leading global training provider in the world for Probability and Statistics for Data Science Training.
  • Delegate pack consisting of course notes and exercises
  • Manual
  • Experienced Instructor

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Best price in the industry

You won't find better value in the marketplace. If you do find a lower price, we will beat it.

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Various delivery methods

Flexible delivery methods are available depending on your learning style.

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Resources are included for a comprehensive learning experience.

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"Really good course and well organised. Trainer was great with a sense of humour - his experience allowed a free flowing course, structured to help you gain as much information & relevant experience whilst helping prepare you for the exam"

Joshua Davies, Thames Water

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"...the trainer for this course was excellent. I would definitely recommend (and already have) this course to others."

Diane Gray, Shell

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