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What does Pr mean in math?

Updated: 4/28/2022
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12y ago

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In all likelihood, it stands for Probability.

For example, Pr(X < 3) is a way of writing "Probability that a random variable, X, takes a value less than 3".

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What is the relative frequency of score less than 120 using the 68-95-99.7 rule if a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20?

120 is one standard deviation greater than the mean (z = 1).So you want Pr(z < 1)The probability of a score at most 1 sd away from the mean is 0.68That is Pr(-1 < z < 1) = 0.68So Pr(|z| > 1) = 1 - 0.68 = 0.32then by symmetry,Pr(z > 1) = 1/2*0.32 = 0.16So Pr(z < 1) = 1 - 0.16 = 0.84120 is one standard deviation greater than the mean (z = 1).So you want Pr(z < 1)The probability of a score at most 1 sd away from the mean is 0.68That is Pr(-1 < z < 1) = 0.68So Pr(|z| > 1) = 1 - 0.68 = 0.32then by symmetry,Pr(z > 1) = 1/2*0.32 = 0.16So Pr(z < 1) = 1 - 0.16 = 0.84120 is one standard deviation greater than the mean (z = 1).So you want Pr(z < 1)The probability of a score at most 1 sd away from the mean is 0.68That is Pr(-1 < z < 1) = 0.68So Pr(|z| > 1) = 1 - 0.68 = 0.32then by symmetry,Pr(z > 1) = 1/2*0.32 = 0.16So Pr(z < 1) = 1 - 0.16 = 0.84120 is one standard deviation greater than the mean (z = 1).So you want Pr(z < 1)The probability of a score at most 1 sd away from the mean is 0.68That is Pr(-1 < z < 1) = 0.68So Pr(|z| > 1) = 1 - 0.68 = 0.32then by symmetry,Pr(z > 1) = 1/2*0.32 = 0.16So Pr(z < 1) = 1 - 0.16 = 0.84


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