Unit IV: Probability Distributions 🎲

Random variables, Binomial, Poisson, Normal — statistical analysis ka base

📊 Weightage: 10 Marks⏱ 35 Periods 📚 Random Variable · Binomial · Poisson · Normal Distribution

🎯 Random Variables & Expectation

Discrete vs continuous, probability distribution table, mean (E[X]), variance, standard deviation.

Padho →

🪙 Binomial Distribution

n trials, probability p of success, P(X=r) = ⁿCᵣpʳqⁿ⁻ʳ. Mean=np, Var=npq.

Padho →

⚡ Poisson Distribution

Rare events counting, P(X=x) = e⁻λλˣ/x!, Mean=Variance=λ. Accidents, defects, calls.

Padho →

🔔 Normal Distribution

Bell curve, symmetric, 68-95-99.7 rule, z-scores, standard normal table.

Padho →

🎮 Interactive Lab

Binomial bar chart, Poisson vs Binomial comparison, Normal curve with z-score slider!

Lab Kholein →