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What is the probability of a particular value of a continuous distribution? Why?
0 because the probability of an event is its area under the curve.
Define: Z transformation formula.
The formula of standardization of a continuous variable, X, to Z.
Z = (X- u)/s, where s is sigma
In a normal distribution given u = 1, what is the median?
1
Define: sampling distribution. What is the equivalent of its mean?
The distribution of every possible sample size of all collected samples, given a sample size.
The population mean.
Define: standard error of the mean. How is it calculated?
A measurement of standard deviation: how each sample mean varies from sample to sample.
Sigma (x) = Sigma / Sqrt(n)
Define: Central Limit Theorem
In a non-normally distributed population, the sampling distribution approximately becomes a normal distribution as the sample size (n) gets large enough.
What are the properties of a sample distribution taken from a normal population?
Given, Mean = u and Standard Deviation = sigma.
Regardless of the sample size, the sampling distribution will also follow a normal distribution.
Its mean is also u and its standard deviation is sigma/sqrt(n).
Central Limit Theorem, what is a large enough sample size?
30.
What are the properties of a normal distribution?
1. It follows a bell curve.
2. It is not skewed, or its mean and median are equal.
3. Its interquartile range is equal to 1.33 s.d. which means that 50% (Q3 - Q1) lies within 2/3 above and below the mean.
4. Theoretically, it has an infinite range.
What is the mean of a discrete random variable?
The Expected Value: E(X)
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