# 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?

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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