What is conditional probability?
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Conditional probability updates the relevant sample space using known information.
It is written as P(A|B).
Practice GAT Subject Statistics questions with answers and explanations.
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Conditional probability updates the relevant sample space using known information.
It is written as P(A|B).
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The addition rule combines probabilities of events in a union.
Any overlap must be subtracted once.
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Independence allows multiplication of the separate event probabilities.
This gives the probability that both occur.
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Bayes theorem reverses conditional probabilities using prior information.
It combines prior probability with likelihood of evidence.
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Permutations count ordered arrangements.
Changing the order produces a different arrangement.
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Standard deviation is the square root of variance.
The square root of 25 is 5.
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Subtract the mean and divide by the standard deviation.
The z-score is (70 - 50) ÷ 10 = 2.
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Use x = mean + z × standard deviation.
Thus x = 80 + (-2)(5) = 70.
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Coefficient of variation is SD divided by mean times 100 percent.
CV = 8 ÷ 40 × 100% = 20%.
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The value 3 occurs three times, more than any other value.
Therefore, 3 is the mode.
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Adding a constant to every value adds the same constant to the mean.
Measures of spread such as standard deviation remain unchanged.
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The maximum is 25 and the minimum is 7.
The range is 25 - 7 = 18.