1. Modelling non-zero count dataCount data is quite often only recorded when at least one event happens (i.e.zero count events are not recorded). For example, the numbers below givethe alcohol units consumed by a certain mathematics professor on the last 13times he went out drinking:16 3 2 1 3 39 3 2 1 1 2Such count data can be modelled using zero-truncated models such as thezero-truncated Poisson model which has mass function:Pr(X = x) = cforx = 1,2,...x!%3Dwhere c = (1-e)" takes account of having Pr(X = 0) = 0.c) Show that all the non-centered positive moments of the zero-truncatedPoisson distribution, E(X^) for k>0, are equal to the respectivemoments of the un-truncated Poisson distribution multiplied by c;d) Use this result to find the mean number of alcohol units E(X) and theprobability that the professor will drink nine units of alcohol Pr(X-9)ife = 2. Does this estimate of 0 = 2 seem likely given the sample ofdata?

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Answered: 1. Modelling non-zero count data Count…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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