Probability and Statistics

Board: JEE Class: JEE

Chapter Overview

Probability: sample space, events, addition/multiplication theorems, conditional probability, Bayes theorem. Random variables and probability distributions. Mean and variance. Binomial, Poisson, and normal distributions. Statistics: mean, median, mode, variance, standard deviation, correlation, regression.

Topics Covered

Probability Basics
Conditional Probability
Bayes Theorem
Random Variables
Probability Distributions
Binomial Distribution
Poisson Distribution
Normal Distribution
Statistics

Key Formulas

P(AUB) = P(A)+P(B)-P(AnB)

P(A|B) = P(AnB)/P(B)

E(X) = sum xi pi

Var(X) = E(X²)-[E(X)]^2

P(X=k) = C(n,k)p^k q^n-k

Real-World Applications

Applications: JEE problem solving, data analysis, risk assessment.

Study Tips

Tip: Define events carefully for Bayes problems

Tip: Practice distribution problems

Tip: Learn the formulas for variance