Chapter 6
requirements for binomial model
1. fixed number of trials 2. only two outcomes, success and failure 3. probability of success, p, is the same at each trial 4. trials are independent
probability model
a description of how a statistician thinks data are produced
probability distribution
also called a probability distribution function (pdf); tells us all the possible outcomes of a random experiment, and the probability of each outcome
normal curve
also called normal distribution; symmetric and unimodal
continuous outcomes
also known as continuous variables; cannot be listed because they occur over a range
discrete outcomes
also known as discrete variables; numerical values that you can list of count
binomial probability
b(n,p,x); represents binomial probability of getting x successes in a binomial experiment and the probability of success p
standard normal model
mean of 0 and a standard deviation of 1
cumulative probabilities
probabilities of x or fewer
mean of a probability distribution
represented by the Greek character μ (mu)
standard deviation of a probability distribution
represented by the Greek character σ (sigma)
expected value
the mean of any probability distribution, including the binomial, is sometimes called the ______
normal model
the most widely used probability model for continuous numerical variables
percentile
the value that corresponds to a probability
binomial probability model
used in situations with discrete-valued numerical variables