* A distribution which is useful for modelling count data has the following probability function:
3. * A distribution which is useful for modelling count data has the following probabilityfunction:fX(x) =r + x ô€€€ 1xpr(1 ô€€€ p)xLet X be a random variable with this probability function.(a) Explain how X can be derived as the number of failures before the rth success,from a series of independent trials with probability of success p.(b) Hence or otherwise show that E(X) = r(1ô€€€p)p .(c) Show that as r ! 1 in such a way that E(X) = < 1 is constant, fX(x) tendstowards a common distribution which is a function of only. Students are often burdened with the task of writing essays. They need to master various academic topics, understand how to integrate facts and arguments, and organize all of this information in a clear and logical way. This is not an easy task for many students. But fear not! We’ve got your back. Here at MoreEssays.com, we offer professional academic help that can take on all these tasks on your behalf. All you need to do is fill out the Order form with your paper’s details, and we will get started on it right away!