05ProbDist

# 05ProbDist - Statistical Techniques I EXST7005 Probability...

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Statistical Techniques I EXST7005 Probability distributions You are here

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Probability PROBABILITY - a measure of the likelihood of the occurrence of some event An event can be any outcome (e.g. verbal, mathematical, graphical)
If the event is certain to occur, the probability is (one, unity). P(A) = 1 If the event is certain to NOT occur, the probability is 0 (zero, null) P(A) = 0 The probability of an event will always range be between 0 and 1 (inclusive) 0 P(A) 1 Some rules of Probability

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Some rules of Probability (continued) The sum of the probability of all possible events where the events are mutually exclusive, is 1. Where the events are Ai, for i=1,2,. ..,r Σ P(Ai)=1 Special note for truly continuous variables. The probability of a given number for a truly continuous variable is zero (0).
The Binomial Distribution First example of a distribution A binomial distribution consists of a set of binomial observations or Bernoulli trials, these are observations with two possible, mutually exclusive, outcomes. Examples Have you taken EXST7005? Yes, No A given fish is: Male, Female A given fish is: Tagged, Untagged A coin toss is: Heads, Tails

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(continued) Number of Heads frequency (f) relative frequency (r.f.) Probability 0 1 1/8 P(0)=0.125 1 3 3/8 P(1)=0.375 2 3 3/8 P(2)=0.375 3 1 1/8 P(3)=0.125 Total 8 1 1 Note that each event is equally likely and mutually exclusive. Prepare a frequency table of the results.

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## This note was uploaded on 12/29/2011 for the course EXST 7087 taught by Professor Wang,j during the Fall '08 term at LSU.

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05ProbDist - Statistical Techniques I EXST7005 Probability...

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