Probability Distribution

Question 1

Random Variable

Answer 1

numerical description of the outcome of an expereiment ; associates a numerical var with each possible experiemental outcome

Question 2

discrete random var

Answer 2

may assume either a finite # of vals or an infinite sequence of vals such as 0,1,2.. (ex: number of passangers waiting for train = 1,2,3,4, gender = 0 if male, 1 if female)

Question 3

continuous random vars

Answer 3

may assume any numerical value in an interval or collection of intervals (ex: x >0, 0<=x<=100, x<=0, etc)

Question 4

probability distribution

Answer 4

describes how probabilities are distributed over values of the random var

Question 5

discrete uniform probability function

Answer 5

f(x) = 1/n

Question 6

bivariate probability dist.

Answer 6

prob. dist. involving 2 rand. vars

Question 7

binomial experiment / bernoulli process

Answer 7

1. experiment has a sequence of n identical trials
2. only 2 outcomes possible on each trial- success or failure
   3.prob. of success (p) doesn’t change from trial to trial and same for prob. of failure (1-p)
3. trials are independent

if 2-4 are satisfied, it’s a Bernoulli process (difference between this and binomial experiment is that bernoulli can have an infinite # of trials)