STAT 3005 Lecture Notes - Lecture 5: Sample Space, Bernoulli Distribution, Binomial Distribution
8 Feb 2018
School
Department
Course
Professor
Document Summary
The binomial distribution is one of the most important discrete distributions. The outcome is binary (i. e yes/no or success/failure). For example, this could be applied to heads/tails, disease/no disease, or republican/democrat. Shape: symmetric, skewed left or right (depending on the parameter value) Parameters: n denoting the number of observations, and p denoting the probability of success on any one observation. Notation: if x counts the number of successes and is binomially distributed on n trials with the probability of success being equal to p, then we write x ~ bin(n, p). In special cases, if n = 1, we have the bernoulli distribution and we write. There is a fixed number of observations, n. Each observation falls into only two categories: success or failure. Find the probability that exactly three of the children have type o blood. Conditional probability: the probability that one event will happen under the condition that some other event is already known to have occurred.
