Continuous Probability Distributions (HSC SSCE Mathematics Advanced): Flashcards

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Using the Normal distribution
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Other name for the 68-95-99.7 rule

Empirical rule

% of values within 1 std deviation of mean

Approximately 68%

% of values within 2 std deviations of mean

Approximately 95%

% of values within 3 std deviations of mean

Approximately 99.7%

Term for how many std devs a value is from mean

Z-score or standardised score

What a negative z-score indicates

Value falls below the mean

Complement rule for probabilities

Probabilities must sum to 1 (or 100%)

Symmetry property of normal distribution

Equal areas appear on both sides of the mean

What standard normal tables show

Cumulative probabilities for different z-scores

Finding P(Z>a)P(Z > a) using tables showing P(Za)P(Z \leq a)

Use complement rule: 100%P(Za)100\% - P(Z \leq a)

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