Suppose That as a Storm Dies Down, Its Rainfall Rate $y=\frac{1}{0.09+t^{2}}$

question 5

Essay

Suppose that as a storm dies down, its rainfall rate (in inches/hour)is given by $y=\frac{1}{0.09+t^{2}}$ for 0 $\le$ t $\le$ 2, where t is the number of hours since the point of heaviest rainfall.What is the average rainfall rate over these two hours? Round your answer to 3 decimal places.

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Definitions:

Unbiased Estimator

An unbiased estimator is a statistical term for an estimate that is expected to be equal to the true parameter of the population.

Population Parameter

A numerical value that summarizes or describes an aspect of a population, such as its mean or standard deviation.

Expected Value

The weighted average of all possible values of a random variable, reflecting the central tendency of the variable's probability distribution.

Population Standard Deviation

Population Standard Deviation measures the dispersion or variability within a set of values for an entire population, indicating how much the individual data points differ from the mean.