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A Random Variable X Is Normally Distributed with a Mean

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A random variable x is normally distributed with a mean of 150 and a variance of 36. Given that x = 120, its corresponding z-score is 5.0.


Definitions:

Time-series Data

A sequence of data points collected or recorded at time-ordered intervals, often used for forecasting or statistical analysis.

Random Variations

Unpredictable fluctuations that affect data or processes, not attributable to any known cause.

Exponentially Smoothed Forecast

A method of forecasting that gives more weight to recent data points, using exponential smoothing to produce a smoothed time series.

Forecast Error

The difference between the actual value and the predicted value in a forecast, indicating the accuracy of the forecasting process.

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