Skip to main content
Super TutorResources
Chapter 31 of 31
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Random Variables and Probability Distributions

Telangana Open School (TOSS) · Class 12 · Mathematics

Complete topic list for Random Variables and Probability Distributions in Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

49 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Random Variables and Probability Distributions? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

4 Topics · Telangana Open School (TOSS) Class 12 Mathematics

Topics in Random Variables and Probability Distributions

1

Random Variables and Their Types

  • A random variable assigns numerical values to outcomes of a random experiment.
  • Discrete random variables take specific, countable values (e.g., number of heads in coin tosses).
  • Continuous random variables can take any value in an interval (e.g., time taken to complete a task).
2

Probability Distribution of a Discrete Random Variable

  • A probability distribution lists all possible values of a random variable and their corresponding probabilities.
  • Two conditions must be satisfied: (1) Each probability is ≥ 0, (2) Sum of all probabilities = 1.
  • This is often shown in a table format.
3

Mean, Variance, and Standard Deviation

  • Mean (expected value) is the long-run average value of repetitions of the experiment.
  • Variance measures how spread out the values are from the mean.
  • Standard deviation is the square root of variance and is in the same units as the variable.
4

Binomial Distribution

  • Used when there are fixed number of independent trials, each with two outcomes: success or failure.
  • Probability of success (p) remains constant across trials.
  • X ~ B(n, p) means X follows binomial distribution with parameters n and p.

Key Concepts

Central concept: Random Variables and Probability Distributions

Random VariableDiscrete Random VariableProbability DistributionMean, Variance, Standard DeviationBinomial DistributionPoisson Distribution

Frequently Asked Questions

What are the important topics in Random Variables and Probability Distributions for Telangana Open School (TOSS) Class 12 Mathematics?
Random Variables and Probability Distributions covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Random Variables and Probability Distributions — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 49 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Random Variables and Probability Distributions

All 31 chapters — Telangana Open School (TOSS) Class 12 Mathematics Syllabus

For serious students

Get the full Random Variables and Probability Distributions chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free