Suppose the temperature in degrees Celsius on the surface of a metal plate is 
where x and y are measured in centimeters. Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters.
Definitions:
Binomial Distribution
A probability distribution that summarizes the likelihood of a variable to take one of two independent values under a given set of parameters.
Probability Of Success
The likelihood that a specified event or outcome will occur, often utilized in the context of trials or experiments.
Variance
A measure of the dispersion, indicating how far individual numbers in a set are from the mean.
Increase
A rise or growth in quantity, size, number, value, or some other measure.
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