Prove formula (7.10). Plot the density of the Kummer distribution given in formula XXXXXXXXXXfor some sets of the parameters. The confluent hyper geometric function of the second kind goes into the...

Prove formula (7.10).

Plot the density of the Kummer distribution given in formula (7.14) for some sets of the parameters. The confluent hyper geometric function of the second kind goes into the normalization factor; this function may be computed by several programs, such as Mathematical, Matlab, or the fOptions package of R. Compare to the gamma distribution and show that the Kummer distribution may be more skewed.