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Published byNickolas O’Brien’ Modified over 9 years ago
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AP Review #3: Continuous Probability (The Normal Distribution)
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Using the Normal Probability Model Use the standardized score (z-score) for normally distributed variables To find the probability that x (an individual value) falls in a certain range: 1) Draw a picture 2) Find z using 3) Look up the value on the z-table to find the probability 4) Subtract if necessary 5) Look at your picture to make sure your answer makes sense!
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Areas from the table Remember the table gives areas to the left If you need area to the right, subtract from 1 If you need the area between 2 z-scores, find the area to the left of each z-score first, then subtract the two areas
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Sampling Distributions ( ) If the problem is asking about the average of a sample instead of an individual value of x, use Remember the Central Limit Theorem! (large sample size = normal distribution of for a random sample, even if the distribution of x is not normal) Larger sample size = smaller spread for the sampling distribution of (because as n increases, gets smaller)
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Sampling Distributions ( ) If a problem asks about a sample proportion instead of a sample mean falling in a certain range, use
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Use your formula sheet Remember that when you replace σ with s, or p with, in one of these formulas, it’s called the standard error
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