Random Variables & Probability Distributions
Maths Higher · Grade 12 · Week 40 · 25 questions
This Grade 12 mathematics chapter on Random Variables & Probability Distributions is high-yield for CBSE + JEE, exploring core concepts. For JEE, speed on these standard problem types is critical — build fluency through timed practice.
What you'll practise
- Master the key derivations and worked examples from NCERT for random variables & probability distributions
- Solve CBSE board-pattern problems from random variables & probability distributions including NCERT exemplar-level questions
All 25 questions in this Random Variables & Probability Distributions quiz
Grade 12 Maths Higher — Random Variables & Probability Distributions: 25 practice questions with instant scoring and explanations.
- Random variable:
- Probability mass function (PMF) p(x) =
- Cumulative distribution function (CDF) F(x) =
- Probability density function (PDF) f(x) ≥ 0 with:
- Expected value E[X] =
- Variance Var(X) =
- Standard deviation σ =
- Linear transformation E[aX + b] =
- For independent X, Y: Var(X + Y) =
- In the context of Random Variables & Probability Distributions: Moment E[Xⁿ]:
- In the context of Random Variables & Probability Distributions: Skewness:
- In the context of Random Variables & Probability Distributions: Kurtosis:
- Moment generating function:
- Characteristic function φ(t) =
- In the context of Random Variables & Probability Distributions: Quantile q_p:
- Using the standard identity, the value of Median is:
- Interquartile range IQR =
- Covariance Cov(X,Y) =
- Correlation ρ =
- Joint distribution:
- Marginal distribution:
- Conditional distribution f(y|x) =
- Law of total expectation:
- Law of total variance:
- A random variable X has distribution: X: 1,2,3 with P: 0.2, 0.5, 0.3. E(X) equals:
Question 1 of 250 correct so far