STATS NI SIR FRED

• Statistics - A branch of mathematics that deals with collection, presentation, analysis, and interpretation of data
• 2 Field of Statististic

  1). Applied Statistics -concerned with the procedures and technique used in the collection

  2). Mathematical Statistics - also called Theotrical Statistics concerned with the development of mathematical foundations
• 2 Major Areas of Applied Statistics

  1. Descriptive Statistics - Concerned with-collection, Describing, and analyzing the subset of data
  2. Inferential Statistics - Concerned with the analysis of the subset of data Leading to predictions
• 2 Sets of Data

  1. Population - The entire set data from which the sample is drawn
  2. Sample - The Specific Group that you will collect data from population
• Random Experiment - An action or process that leads to on of several possible outcomes
• Sample Space - List of all possible outcomes of a random experiment.
• Sample point - A point from which a sample is taken to represent the whole population or Individual outcome of an experiment
• Event - Subset of the sample space consisting of one or more sample points to which a probability distribution is assigned.
• Probability - A numerical measures of the likehood of the occurence of an event
• Random variable - a function that associates a real number with a random event.
• 2 Types of Random Variable

  1. Discrete Random Variable - countable number of outcomes
  2. Continuous Random Variable - Uncountable numbers of value
• ADDITION RULE OF PROBABILITY

  1. Mutually Exclusive Events - are those events that do not have any sample point in common events A and B. This is characterized by the conjunction word "or"
  2. Non - Mutually Exclusive Events - are events that have at least one common elements or "point of intersection"
• MULTIPLICATION RULE OF PROBABILITY

  1. Independent Events - the occurence or non - occurence of one event gives no information about the likeliness of the occurence of the other.
• Probability Distirbution - presents the possible values of a random variable and it's corresponding probabilities in a table.
• Probability Mass Function - a rule that assigns probabilities to the values of the random variables the ordered pair (x,f(x)) is a probability function of the random variable x if for each possible outcomes x
• Histogram - another way of presenting probability distribution
• Normal probability distribution - is a probability distribution of continuous random variables
• • The normal probability distribution curve is Bell-shaped
  • The curve is symmetrical about its center
  • The mean, median, and mode coincide at the center
  • The curve is Asymptotic to the baseline
  • The area under the curve is 1. Thus, represents the probability or proportion or percentage associated with specific measurement
• Standard Normal Distribution - The standard normal distribution has zero mean and unit variance