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5.4.6 Suppose it is known that in a population of 1000 students, 350 students will vote for party A, 550 students will vote for party B, and the remaining students will vote for party C. (a) Explain how such information can be obtained (b) If we let X : П { A, B, C) be such that X ( ) is the party that will vote for, then explain why we cannot represent the population distribution of X by Fx. (c) Compute fx (d) Explain how one might go about estimating fx prior to the election (e) What is unrealistic about the population distribution specified via fx? (Hint: Does it seem realistic, based on what you know about voting behavior?)
math   Statistics-And-Probability   
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Gere we use the multinomial distribution for computing the probabilities. Given example is application of it.Let Vi Tol no. of stu denooo No. oF students will vote for Pa M : 350 X255o 50 = No. of students will vote pa students will vote for pa a) If oe take sample of l000 students, and 0OO Stucen ask them ushetheγ he will.vote for pa A, aryB and pa vote f0γ.Ơne of the each arf^. We can probabiLiガes A, B, C have mes尸ective ave respech ve corresponding eac Prob . of party B will getvmk. 8 le PTob. of paty c will ge e cant cal culce aumwadive sjnce, al hee events qre mutolly an ex haustive exents 7.5 - 350 ..= 0.35 550 6 op[즈 ].tr(x,-х, h긔.ys.«J f(X): וי oc en.co (o 35 r(o«Jso(oợ.° 350) 550l 1o0l 3 i l Otherwise d) selec sample of reg uived size fromthe o pul atiom selectoca be done using random samplin method) and ask hem intervieu» method o questionnair method, etc coheher oould forr t ohce you hae vor for cohieh f n Part (b) and Ce), you can compute חד fox)

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