Probability Distributions
CBSE · Class 12 · Applied Mathematics
Complete topic list for Probability Distributions in CBSE Class 12 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Probability Distributions
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)
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
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
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
Key Concepts
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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