X Is a Normally Distributed Random Variable with a Mean

question 54

Multiple Choice

x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is

• A) 0.000.
• B) 0.0055.
• C) 0.4945.
• D) 0.9945.

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Definitions:

Standard Score

A score that has been transformed to fit a normal distribution, typically with a mean of 0 and a standard deviation of 1, allowing for comparison across different tests or assessments.

Percentile

A measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls.

Z-score

A statistical measure that describes a value's relationship to the mean of a group of values, expressed in terms of standard deviations from the mean.

Variability

A quantitative measure that describes the degree to which scores in a distribution are spread out or clustered together.