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Unformatted text preview: Section 9 - Process Distributions UGA FDST 4090/6090 - (c) W.C. Hurst 2009 1 Discrete Probability Distributions William C. Hurst FDST 4090/6090 (2009) Law of Probability • If an event can happen in any one of “n” exhaustive, mutually exclusive and independent ways and “m” of these events are successes the probability “P” that an FDST 4090/6090 © W.C. Hurst 2009 are successes, the probability P that an event will result in success is: Additive Rule • If P 1 is the probability that event A will occur and P 2 is the probability that a mutually exclusive event B will occur, then the probability “P” of either A or B FDST 4090/6090 © W.C. Hurst 2009 the probability P of either A or B occurring is the sum of their probabilities: Multiplication Rule • If P 1 is the probability of event A occurring and P 2 the probability of event B occurring, then the probability “P” that event A will occur followed by event B is the product of FDST 4090/6090 © W.C. Hurst 2009 occur followed by event B is the product of their probabilities and defined as: Problem #1 A food service operation requires its fresh- cut processors to formulate their “garden salad mix” as 85% iceberg lettuce, 12% red cabbage and 3% shredded carrots FDST 4090/6090 © W.C. Hurst 2009 red cabbage and 3% shredded carrots. If the Receiving inspector randomly takes a 250 gram sample from an incoming bag of salad mix, what is the probability that either cabbage or carrot will be found? SEE WORKSHEET SEE WORKSHEET Problem #2 What is P of drawing a sample of five (5) good Fresh Express “Garden Salad” 6-oz. packages from a batch of 100,000 packages in which 2% or 2000 were FDST 4090/6090 © W.C. Hurst 2009 packages in which 2% or 2000 were defective? SEE WORKSHEET SEE WORKSHEET Section 9 - Process Distributions UGA FDST 4090/6090 - (c) W.C. Hurst 2009 2 Tools for Probability Counting COMBINATION: • C r = FDST 4090/6090 © W.C. Hurst 2009 • Different sequences of the same set of items do not constitute a different combination. Combination Examples • A fresh-cut processor has a labor pool of 20 workers....
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This note was uploaded on 06/15/2010 for the course FDST 4080 taught by Professor Pegg during the Spring '10 term at UGA.
- Spring '10