Mean & Variance of Random Variables, Binomial Distribution
Maths Higher · Grade 12 · Week 41 · 25 questions
In Grade 12 advanced mathematics, Mean & Variance of Random Variables, Binomial Distribution is a theorem-heavy chapter developing 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 mean & variance of random variables, binomial distribution
- Solve CBSE board-pattern problems from mean & variance of random variables, binomial distribution including NCERT exemplar-level questions
All 25 questions in this Mean & Variance of Random Variables, Binomial Distribution quiz
Grade 12 Maths Higher — Mean & Variance of Random Variables, Binomial Distribution: 25 practice questions with instant scoring and explanations.
- Binomial distribution X ~ B(n, p):
- E[X] for X ~ B(n, p) =
- Var(X) for X ~ B(n, p) =
- Bernoulli X ~ B(1, p) has:
- Sum of independent binomials:
- Normal approximation to binomial:
- Poisson approximation to binomial:
- Negative binomial:
- Geometric distribution:
- Poisson X ~ P(λ) has:
- Hypergeometric distribution:
- Uniform distribution U[a,b]:
- Exponential X ~ Exp(λ):
- Normal X ~ N(μ, σ²):
- Standard normal Z ~ N(0, 1):
- Chi-square X ~ χ²(k):
- t-distribution t(k):
- F-distribution F(m,n):
- Beta distribution:
- Gamma distribution:
- Weibull distribution:
- In the context of Mean & Variance of Random Variables: Lognormal:
- Mixture distribution:
- Generating function properties:
- For binomial distribution B(n, p), mean and variance are:
Question 1 of 250 correct so far