Let X represent the number of events that are observed to occur in n units of time or space,and assume X- Poisson(n), where a is the mean number of events that occur in one unit oftime or space. Assume X is large, so that X - N(nà,nì). Follow steps (a) through (d) toderive a level 100(1 – a)% confidence interval for 2 Then in part (e), you are asked to applythe result found in part (d).Show that for a proportion 1 – a of all possible samples, X- Z0x < ni < X + Zup0x.Let 2 = X/n. Show that o = 0x/n.a.b.Conclude that for a proportion 1 - a of all possible samples, 2- tpo, < i <â+ a.C.d.Use the fact thato Vâ/n to derive an expression for the level 100(1 - a)%confidence interval for 2.A 5 mL sample of a certain suspension is found to contain 300 particles. Let Arepresent the mean number of particles per mL in the suspension. Find a 95%e.confidence interval for 2.

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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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