to 2012. Year Quarter 1 Quarter 2 Quarter 3 2010 535 92 15 2011 590 152 10 2012 704 129 310 following tables are constructed for the calculation of the 4-period movi rs. Direct Tax 4-period Moving Year Quarter (HKS, in 100 millions) Average 2010 535 92 343.25 3 15 357.00 4 731 372.00 2011 590 370.75 152 413.50 3 10 A 4 902 436.25 2012 704 511.25 2 129 530.50
to 2012. Year Quarter 1 Quarter 2 Quarter 3 2010 535 92 15 2011 590 152 10 2012 704 129 310 following tables are constructed for the calculation of the 4-period movi rs. Direct Tax 4-period Moving Year Quarter (HKS, in 100 millions) Average 2010 535 92 343.25 3 15 357.00 4 731 372.00 2011 590 370.75 152 413.50 3 10 A 4 902 436.25 2012 704 511.25 2 129 530.50
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:The following table shows the Direct Taxes (HKS, in 100 millions) received by Hong Kong Government from
2010 to 2012.
Year
Quarter 1
Quarter 2
Quarter 3
Quarter 4
2010
535
92
15
731
2011
590
152
10
902
2012
704
129
310
979
The following tables are constructed for the calculation of the 4-period moving average and the seasonal
factors.
Direct Tax
4-period Moving Centered Moving
Year
Quarter
(HKS, in 100 millions)
Average
Average
2010
535
92
343.25
3
15
350.125
357.00
4
731
364.500
372.00
2011
590
371.375
370.75
2
152
392.125
413.50
3
10
427.750
A
4
902
439.125
436.25
2012
704
473.750
511.25
129
B
530.50
3
310
4
979
Average value of
Quarter
y -t
1
224.4375
2
3
D
414.6875
(a) Find the values of A, B, C, and D.
(b) Hence, find the seasonal factor for each quarter.
(c) In general, within a year, which quarter the Govermment receives the highest amount of Direct Taxes?
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