The table below is taken from
The table below is taken from the Australian Bureau of Statistics website. It provides data on mortgage repayment (monthly) by Australian households living in different dwelling structures in the year 2011.
|
Dwelling Structure |
Total occupied private dwellings |
Separate house |
Semi-detached, row or terrace house, townhouse |
Flat, unit or apartment |
|
Mortgage Repayment (monthly) |
||||
|
Total |
2 709 429 |
2 324 546 |
190 411 |
187 375 |
|
$0-$299 |
114 197 |
99 624 |
7 352 |
6 694 |
|
$300-$449 |
64 357 |
57 107 |
3 749 |
3 220 |
|
$450-$599 |
60 317 |
53 545 |
3 375 |
3 112 |
|
$600-$799 |
113 616 |
101 194 |
6 224 |
5 765 |
|
$800-$999 |
146 303 |
129 290 |
8 227 |
8 289 |
|
$1,000-$1,399 |
380 790 |
331 572 |
23 386 |
24 761 |
|
$1,400-$1,799 |
400 688 |
341 557 |
27 855 |
30 434 |
|
$1,800-$2,399 |
548 587 |
464 033 |
40 573 |
42 946 |
|
$2,400-$2,999 |
303 184 |
256 405 |
22 677 |
23 635 |
|
$3,000-$3,999 |
261 122 |
219 568 |
21 697 |
19 333 |
|
$4,000 and over |
175 821 |
146 771 |
16 659 |
11 781 |
|
Mortgage repayment not stated |
140 447 |
123 880 |
8 637 |
7 405 |
a) Find the probability that a randomly selected households live in separate house dwelling? 1 mark
b) In a total occupied private dwellings, what is the probability that a randomly selected households make a monthly mortgage repayment of $800-$999? 1 mark
c) What is the probability that a randomly selected households make a monthly mortgage repayment of $1,800-$2,399 or $2,400-$2,999? 1 mark
d) What is the probability that a randomly selected households make a monthly mortgage repayment of $300-$449 in a flat, unit or apartment dwelling structure?
Answer:
a) The probability that randomly selected households to live inseparate house dwelling:
The total dwellings= 2709429
The total separate house dwellings=2324546
The probability= 2324546/ 2709429 =0.857947
b)The probability that randomly selected households to make amonthly mortgage repayment of $800-$999:
The total dwellings= 2709429
The total monthly mortgage payments of$800-999= 146303
The probability = 146303 / 2709429=0.053998
c) The probability that randomly selected households to make amonthly mortgage repayment of $1,800-$2,399 or $2,400-$2,999:
The total dwellings= 2709429
The total dwellings of $1800-2399=548587
The total dwellings of $2400-2999=303184
The total dwellings of $1800-2399 or$2400-2999= 548587+303184= 851771
The probability= 851771 / 2709429=0.314373
d)The probability that randomly selected households to make amonthly mortgage repayment of $300-$449 in a flat, unit orapartment dwelling structure:
The total dwellings= 2709429
The total monthly mortgage repaymentof $300-449 in a flat, unit or apartment dwelling= 3220
The probability= 3220/ 2709429 =0.001188
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