CHAPTER 3 Flashcards
A function that associates a real number with each element in the sample space
Random Variable
If a sample space contain a finite number of possibilities or an unending sequence with as many elements as there are whole numbers
Discrete Sample Space
If a sample space contains an infinite number of possibilities equal to the number of points on a line segment
Continuous Sample Space
If its set of possible putcomes is countable
Discrete Random Variable
Discerete random variable reperesent a _____ data
Count
Set pf possible balues is an entire interval of numbers
Continuous Random Variable
When a random variable can take onnvalues on a continuous svale
Continuous Random Variable
Set of ordered pairs
Probability function, probability mass function, or Probability distribution
An experiment often consists of repeated trials, each with two possible putcomes that may be labelled success or failure
Binomial Distribution
Process of Binomial Distribution
Bernoulli Process
The trial of Binomial Distribution
Benoulli Trial
The number X of successes in n Bernoulli trials
Binomial Random Variable
The probability distribution of the discrete binomial random variable
Binomial Distribution
The binomial experiment becomes this experiment if we let each trial have more than two possible outcomes
Multinomial Experiment
Of the N items, k may be classified as successes and N-k are classifies as failures
Hypergeometric Experiment
The number X of successes of a hypergeometric experiment
Hypergeometric Random Variable
The probability distribution of the hypergeometric variable
Hypergeometric Distribution
If repeated independent trials can result in a success with a probability p and a failure with probability q = 1-p, then the probability distribution of the random variable X, the number of the trial on which the kth success occur
Negative Binomial Distribution
If repeated independent trials can result in a success with a probability p and a failure with probability q = 1-p, then the probability distribution of the random variable X, the number of the trial on which the 1st success occur
Geometric Distribution
Experiments yielding numerical values of a random variable X, the number of outcomes occuring during a given time interval or in a specified region
Poisson Experiment
A poisson Experiment is derived from the ______
Poisson Process
The number X of outcomes occuring during a poison experiment
Poison random variable
