Applet Exercise Use the applet Gamma Probabilities and
Chapter 4, Problem 177SE(choose chapter or problem)
Problem 177SE
Applet Exercise Use the applet Gamma Probabilities and Quantiles to find the medians of gamma distributed random variables with parameters
a α = 1, β = 3. Compare your answer with that in Exercise 4.176.
b α = 2, β = 2. Is the median larger or smaller than E(Y )?
c α = 5, β = 10. Is the median larger or smaller than E(Y )?
d In all of these cases, the median exceeds the mean. How is that reflected in the shapes of the corresponding densities?
Reference
If Y has an exponential distribution with mean β, find (as a function of β) the median of Y .
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