In R studio
# The Gamma Family
The Gamma distribution is defined using two parameter $\alpha$ (the shape parameter) and $\beta$ (the scale parameter).
We will try to visualize the gamma distribution for different choices of $\alpha$ and $\beta$.
A random variable that that has the gamma distribution as it's probability distribution will be called a gamma random variabe.
Note the values of the gamma random variable are the set of all positive real numbers.
Since the density funtion for the gamma random variable take very small values when $x$ gets large, when plotting this distribution, we fix the range of $x$ to be between 0 and 6.
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Expert's answer
2020-11-09T18:54:18-0500
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