Knowledge in Probability & statistics

Handwritten notes Statistics Part 7

Given below are the notes for mathematics students, studying the subject Probability & statistics. The attachement includes handwriiten notes on statistics. #VIT Chennai

Handwritten notes Statistics Part 8

Given below are the notes for mathematics students, studying the subject Probability & statistics. The attachement includes handwriiten notes on statistics. #VIT Chennai

Handwritten notes Statistics Part 9

Given below are the notes for mathematics students, studying the subject Probability & statistics. The attachement includes handwriiten notes on statistics. #VIT Chennai

Handwritten notes Statistics Part 15

Given below are the notes for mathematics students, studying the subject Probability & statistics. The attachement includes handwriiten notes on statistics. #VIT Chennai

Handwritten notes Statistics Part 16

Given below are the notes for mathematics students, studying the subject Probability & statistics. The attachement includes handwriiten notes on statistics. #VIT Chennai

Introduction to Probability-Sheldon M Ross

Text book for probability and statistics - 3rd edition by Sheldon M Ross

Applied Statistics and Probability for Engineers

Pdf of the Applied Statistics and Probability for Engineers-3rd edition book by Douglas C. Montgomery and George C. Runger

Introductory Statistics by Prem S. Mann-8th Ed

Pdf of the Introductory Statistics Textbook 8th Edition By Prem S. Mann. Introductory Statistics is written for a one- or two-semester first course in applied statistics. This book is intended for students who do not have a strong background in mathematics. The only prerequisite for this text is knowledge of elementary algebra. It includes topics likes continuous and discrete random variables, sampling distribution, estimation, hypothesis, probability, etc.

Probability distribution

1. Student’s Distribution (t-distribution) 2. Snedector’s F-Distribution (F-distribution) 3. Chi-Square Distribution

Probability

Probability notes of engg.mathematics 3

Descriptive Statistics

Measure of central tendency & it refers to middle value of data Three types mean media and mode

Hypothesis Testing

Hypothesis testing is an important application of statistics. A thesis is something that has been proven to be true. A hypothesis is something that has not yet been proven to be true. It is a proposition that is empirically testable. In other words, a hypothesis (prediction) is your best guess about what you think will happen in the investigation based on some research or some experience you have had. The first step in a hypothesis test is to formalize it by specifying the null hypothesis. A null hypothesis (H0) is an assertion about the value of a population parameter. It is an assertion that we hold as true unless we have enough statistical evidence to conclude otherwise. The alternate hypothesis (H1) is the negation of the null hypothesis. Example – A vendor claims that his company fills any accepted order, on the average, in at most six working days. You suspect that the average is greater than six working days and want to test the claim. Here the claim is the null hypothesis and the suspicion is the alternate hypothesis. Thus, with µ denoting the average time to fill an order, Null hypothesis H0 : µ ≤ 6 days Alternate hypothesis H1 : µ > 6 days