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Random Variables and Probability Distributions — Formula Sheet

Telangana Open School (TOSS) · Class 12 · Mathematics

9 formulas from Random Variables and Probability Distributions (Telangana Open School (TOSS) Class 12 Mathematics) on one page, grouped by topic.

49 questions25 flashcards9 formulas & key relations5 concepts

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9 Entries · 4 Sections

Formulas and Key Relations

Mean, Variance, Standard Deviation

μ = Σ xᵢP(X=xᵢ)

σ² = Σ (xᵢ - μ)²P(X=xᵢ)

σ² = Σ xᵢ²P(X=xᵢ) - μ²

σ = √σ²

Binomial Distribution

P(X=r) = ⁿCᵣ pʳ qⁿ⁻ʳ

Mean = np

Variance = npq

Probability Distribution of a Discrete Random Variable

Two conditions must be satisfied

(1) Each probability is ≥ 0, (2) Sum of all probabilities = 1.

Each probability must be ≥ 0.

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Frequently Asked Questions

What are the important topics in Random Variables and Probability Distributions for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Random Variables and Probability Distributions include Random Variables and Their Types, Probability Distribution of a Discrete Random Variable, Mean, Variance, and Standard Deviation, Binomial Distribution. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How many formulas are in Random Variables and Probability Distributions?
This sheet lists 9 formulas from Random Variables and Probability Distributions, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Random Variables and Probability Distributions for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 49 practice questions on Random Variables and 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 Telangana Open School (TOSS) Class 12 Mathematics Formula Sheet

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