(a) Consider the following poisson mass function for thefuture lifetime of a newborn:f(k) = 2^e^/k! for all k ≥ 0, where k is a discreterandom variable(i) Find an expression for S (k).(ii) Find an expression for FF₂(k).(iii) For λ = 3 calculateAF(8).05(iv) For A = 4.5 estimate e (the expectation of the completefuture lifetime of (5)).b) (i) Using the survival model in (a), for λ = 60 andλ = 30 construct (using EXCEL or otherwise) life tablesfor ages 0 up to some limiting age.(ii) Plot the survival functions at age 20 for each poissondistribution and comment on any differences.

“Since you have asked multiple questions, we will solve the 3 subparts of the first question for…

Answered: (a) Consider the following poisson mass…

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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(a) Consider the following poisson mass function for the future lifetime of a newborn: -λ f₁(k) = 2^e^/k! for all k ≥ 0, where k is a discrete random variable (i) Find an expression for S (k). (ii) Find an expression for F (k). (iii) For λ = 3 calculate F (8).