Finding Probabilities from the Tables (Leaving Cert Mathematics): Flashcards

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Finding Probabilities from the Tables
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What does the Z-table provide?

Cumulative probabilities for Z-scores

Z-score formula

Z=X−μσZ = \frac{X - \mu}{\sigma}

In Z-score formula, what is XX?

The value of interest

In Z-score formula, what is μ\mu?

The mean

In Z-score formula, what is σ\sigma?

The standard deviation

Which Z-table row for Z-score 1.36?

1.3 (first two digits)

Which Z-table column for Z-score 1.36?

0.06 (hundredths place)

What does cumulative probability represent?

Area under curve to the left of Z-score

Formula for P(Z>z)P(Z > z)

P(Z>z)=1−P(Z≤z)P(Z > z) = 1 - P(Z \leq z)

Formula for P(a<Z<b)P(a < Z < b)

P(a<Z<b)=P(Z≤b)−P(Z≤a)P(a < Z < b) = P(Z \leq b) - P(Z \leq a)

How to find P(Z>z)P(Z > z) from Z-table?

Subtract cumulative probability from 1

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

Explore Leaving Cert Mathematics Exam Questions by Topics

Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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