Showing posts with label Probability Chapter 1. Show all posts
Showing posts with label Probability Chapter 1. Show all posts

Monday, 22 June 2020

Axiomatic Approach to probability


Function: If  A and B are two non-empty sets, then a function from A to B, denoted as f(.): A→ B is a rule, which associates to each element x∊A to a unique element y∊B. The element y is called the image of x and written as y=f(x) is called a pre-image of y. The set is called the domain of f(.) and  B its codomain or counter domain.

Questions for 1st Sem

Topic: Beta and Gamma Function  Q1. Evaluate $\int_0^1 x^4 (1-\sqrt{x})dx$ Q2. Evaluate $\int_0^1 (1-x^3)^{-\frac{1}{2}}dx$ Q3. Show that $\...