The Normal Distribution (VCE SSCE Mathematical Methods): Flashcards
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Standard normal distribution: mean and std dev values
Standard normal distribution: mean and std dev values
and
Symbol for standard normal random variable
Symbol for standard normal random variable
Standard normal PDF
Standard normal PDF
Larger makes normal curve
Larger makes normal curve
Wider and flatter
Effect of mean on normal distribution
Effect of mean on normal distribution
Determines location/center of the curve
Convert general to standard:
Convert general to standard:
% area within 1 std dev of mean (empirical rule)
% area within 1 std dev of mean (empirical rule)
Approximately 68%
% area within 2 std devs of mean (empirical rule)
% area within 2 std devs of mean (empirical rule)
About 95%
% area within 3 std devs of mean (empirical rule)
% area within 3 std devs of mean (empirical rule)
About 99.7%
Transformations between normal distributions preserve
Transformations between normal distributions preserve
Area