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Suppose the total monetary value of sales on N = 5500 invoices is R1 500 000 and...
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Suppose the total monetary value of sales on N = 5500 invoices is R1 500 000 and that a number of invoices must be selected according to a probability proportional to size (PPS) selection process. Suppose we determine that n = 15 invoices are to be selected.
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Gestel die totale monetêre waarde van verkope van N = 5500 fakture is R1 500 000 en dat ʼn aantal fakture volgens ʼn waarskynlikheid ewekansig aan grootte (WEG) seleksie-proses getrek moet word. Gestel ons bepaal dat n = 15 fakture geselekteer moet word.
Invoice / Faktuur | Monetary Value (R) / Monetêre Waarde | Accumulated Value (R) / Geakkumuleerde Waarde | Interval Values / Interval Waardes | 7-Digit Random Numbers / 7-Syfer Ewekansige Getalle |
1 | 1750 | |||
2 | 3400 | |||
3 | 2200 | |||
4 | 5725 | |||
5 | 500 | |||
6 | 620 | |||
7 | 12300 | |||
8 | 1735 | |||
ens. / etc | ens. / etc | ens. / etc | ens. / etc | ens. / etc |
If the PPS selection method is used to choose invoices from this population, calculate the probability that Invoice 7 is the first invoice selected. Assume that the random numbers are not ordered from smallest to largest.
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Indien die WEG seleksie-proses gebruik word om fakture uit hierdie populasie te selekteer, bereken die waarskynlikheid dat Faktuur 7 eerste geselekteer word. Neem aan dat die ewekansige getalle nie van klein na groot gerangskik word nie.