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P Distributions

3.14 NCEA level 3 statistics

QuestionAnswer
What are the two parameters of normal distribution? Mean and the standard deviation
How can you calculate a rough standard deviation? Divide the overall range by 6 (because 99% of the data is within three standard deviations from the mean)
What are the features of a Normal distribution model? Unimodal, Symmetrical, Bell shaped, and unbounded
What are the proportions of a normal distribution probability model? The area under the curve is equal to one 68% of normally distributed data is within one standard deviation of the mean 95% is within two standard deviations of the mean 99% is within 3 std Devs
What equation is needed for a conditional normal distribution problem? P(A l B) = P(A n B) / P(B)
For rectangle distribution how do calculate the height of the rectangle? The height of the rectangle is just one over the length.
When should you use a rectangular distribution model? When the only information you are given is maximum and minimum values
What are the properties of a uniform distribution? Continuous Has a minimum and maximum value Each value is equally likely to occur The probability of obtaining a range of values = area under the graph for those values
When should you use a triangular distribution model? When the only information you are given is a maximum, minimum and an average/mode. Usually used for continuous data
How to calculate area of triangle? Half base times height
How to calculate are of rectangle? Bases times height
λ meaning? The mean number of occurrences per continuous period
What does Crispy fish stand for? Conditions:R events must occur at random and the rate at which the event occurs is constant I events must be independent S events cannot occur simultaneously P probability of an event occurring is proportional to the size of the continuous interval
What is the one parameter of Poisson distributions? λ - Average number of successes or rate of successes
When doing inverse Poisson problems, if X=0 then what happens to the equation? Goes from P(X=x)=e-λλx/x! to P(X=0)=e-λ
What does Bi nom I al stand for? Bi: There are only two outcomes (success, failure) Nom: There is a fixed number of trials (n) I: Each trial is independent, the outcome of one trial does not affect the outcome of another Al: The probability of each success is constant
What are the two parameters of a binomial distribution? n - the number of trials π - the probability of success for each trial
Created by: estherbruce
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