The random variable x has the following probability distribution: 
a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b.Calculate the expected value of x.
c.Calculate the variance of x.
d.Calculate the standard deviation of x.
Definitions:
Moving Average Model
A statistical model used for forecasting future values based on past averages of data points.
Three-period Moving Average
A method of smoothing time series data by calculating the average of three consecutive values at a time.
Time Series
A Time Series is a sequence of data points, typically measured at successive points in time, used for forecasting future trends.
Mean Absolute Percentage Error
A measure of prediction accuracy in statistics that calculates the average absolute percentage difference between predicted and actual values.
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