Study Guides (238,415)
United States (119,784)
MAS 311 (2)
Donno (2)
Midterm

# MAS 311 Test 2.pdf

2 Pages
121 Views

School
University of Miami
Department
Management Science
Course
MAS 311
Professor
Donno
Semester
Spring

Description
Discrete Uniform Probability Distribution Multivariate Hypergeometric Probability Distribution The Values of the random variable are equally likely If N items can be partitioned into the k cells A1,A2,....Ak with a1,a2,....,ak elements, respectively, then the probability distribution of the random variables X1,X2,....,Xk, representing the number of elements selected from A1,A2,....,Ak in a random sample of size n, is K= number of values random variable may assume Binomial Probability Distribution 1. Sequence of n identical trials 2. Two outcomes (success & failure) are possible in each trial 3. Probability of success (p) does not change in each trial Negative Binomial Probability Distribution 4. Trials are independent 1. Consists of a sequence of n identical trials 2. Two outcome (success & failure) are possible in each trial 3. Probability of success (p) doesn’t change from trial to trial 4. Trial are independent 5. Trials will be repeated until a ﬁxed number of successes occur (probability that the kth success occurs on the xth trial) X = Number of successes P = Probability of success in one trial n = Number of trials f(x) = Probability of x successes in n trials p = probability of success Multinomial Probability Distribution q = probability of failure 1. Consists of n repeated trials 2. Each trial has a discrete number of possible outcomes Geometric Probability Distribution 3. The probability that a particular outcome will occur is If repeated, independent trials can result in a success with constant in each trial probability p and a failure with probability 4. The trials are independent (outcome of one trial doesn’t affect q = 1 - p, then the probability distribution of random variable X, outcome of others) the number of the trial on which the 1st success occurs is: Poisson Probability Distribution Hypergeometric Probability Distribution - Used to estimate the number of occurrences over a speciﬁed 1. Sequence of n identical trials interval of time or space 2. Two outcomes (success & failure) are possible in each trial - A Poisson distributed random variable is a discrete random 3. Probability of success does change from trial to trial variable that may assume an inﬁnite sequence of values ( x = 4. Trials are not independent 0,1,2, ... ) 1. The probability of an occurrence must be the same for any
More Less

Related notes for MAS 311

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.