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Probability Distributions — Revision Notes

CBSE · Class 12 · Applied Mathematics

Probability Distributions revision notes for CBSE Class 12 Applied Mathematics: 4 topics in quick points. Includes Random Variables and Probability.

48 questions24 flashcards2 formulas & key relations5 concepts

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Key Topics to Revise

1

Random Variables and Probability Distributions

  • A random variable is a real-valued function whose domain is the sample space of a random experiment
  • Discrete random variables take distinct, countable values (like number of heads in coin tosses)
  • Continuous random variables can take any value within a given range (like height, weight)
2

Mathematical Expectation and Variance

  • Mathematical expectation E(X) is the weighted average of all possible values
  • E(X) represents the theoretical mean of the random variable
  • Variance measures the spread of random variable values around the mean
3

Binomial Distribution

  • Applies to Bernoulli trials with exactly two outcomes: success and failure
  • Requires fixed number of independent trials with constant probability
  • Probability of r successes in n trials follows binomial formula
4

Poisson Distribution

  • Models rare events occurring over fixed intervals of time/space
  • Events occur independently at constant average rate
  • Parameter λ represents both mean and variance

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Full Notes

Key Concepts

A random variable is a realA probability distribution describes how probabilitiesThe expected value E(X) ofVariance measures the spread ofA discrete probability distribution for

Frequently Asked Questions

What are the important topics in Probability Distributions for CBSE Class 12 Applied Mathematics?
Key topics in Probability Distributions include Random Variables and Probability Distributions, Mathematical Expectation and Variance, Binomial Distribution, Poisson Distribution. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Probability Distributions for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 48 practice questions on Probability Distributions. Revise 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.

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All CBSE Class 12 Applied Mathematics Revision Notes

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