ان پٹ اقدار & Modes
نتیجہ
حساب کیسے کیا گیا
Visualization
Discrete distributions render as bars with highlighted tails; continuous ones display the PDF curve plus shaded regions or quantile markers.
استاد کے نوٹس
- The حساب کیسے کیا گیا log exposes every transform (beta/gamma mapping, Newton steps), making derivations easy to discuss live.
- Exact intervals for binomial p and Poisson λ appear alongside point estimates so learners can compare uncertainty and probability mass.
- قابلِ شیئر URLs, CSV tables, and LaTeX snippets streamline homework distribution and worked-solution handouts.
عمومی سوالات
How are CDFs and quantiles computed?
Binomial CDFs use regularized incomplete beta, Poisson and chi-square rely on regularized gamma, and Student’s t maps to beta functions combined with Newton or bisection for robust inversion.
What کیا میں do with the exact intervals?
The Clopper–Pearson interval for p and the chi-square based interval for λ quantify uncertainty exactly, so you can document precision requirements in labs or assessments.
متعلقہ کیلکولیٹرز
حساب کیسے کیا گیا
- PDF, CDF, and quantiles for common distributions (Normal, t, χ²).
- Numerical integration/inversion as needed; پیرامیٹرز validated.
- URL شیئر کریں stores selected distribution and params.