Mathematics, 29.12.2020 01:00 chrisayy

The random variate X has the density f(x) = 0.4 - 0.08 x for 0 < x < 5 and 0 elsewhere.
a) Find the CDF and the inverse CDF of that random variate.
b) Write an R-function that generates random variates from that distribution.
c) Generate a sample of size n=7*10^5 using the function of b). Make a histogram of
that sample and add the plot of the density and check if your code is correct?

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The random variate X has the density f(x) = 0.4 - 0.08 x for 0 < x < 5 and 0 elsewhere.
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