Stats Chapter 5
List two conditions required for a discrete probability function.
1. 0<or= f(x) <or= 1 (must be between 0-1) 2. Ef(x) = 1 (must add up to 1)
A continuous random variable may assume ____ in an interval.
any value
The weight of an object is an example of (discrete / continuous) random variable.
continuous
An experiment consists of making 80 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is a (discrete / continuous) random variable.
discrete
The binomial probability distribution is used with a (discrete / continuous) random variable.
discrete
List the characteristics of the hypergeometric probability distribution
discrete, 2 outcomes, dependent outcomes, draw without replacement
List the characteristics of the binomial probability distribution.
discrete, 2 outcomes, independent outcomes, draw with replacement
The Poisson probability distribution is used with a (discrete / continuous) random variable that involves _____ or _____.
discrete; time; distance
Another name for the mean of a distribution is ____.
expected value
When sampling without replacement, the probability of obtaining a certain sample is best given by a (uniform / binomial / poisson / hypergeometric) distribution.
hypergeometric
A numerical description of the outcome of an experiment is called a _____.
random variable
In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the (uniform / binomial / Poisson / hypergeometric) distribution.
Poisson
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a ____.
binomial
If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials, the correct probability function to use is the (uniform / binomial / poisson / hypergeometric) distribution.
binomial