Refer to the North Valley Real Estate data, which report information on homes sold during the last year.

a. Sort the data into a table that shows the number of homes that have a pool versus the number that don’t have a pool in each of the five townships. If a home is selected at random, compute the following probabilities.

1. The home has a pool.

2. The home is in Township 1 or has a pool.

3. Given that it is in Township 3, that it has a pool.

4. The home has a pool and is in Township 3.

b. Sort the data into a table that shows the number of homes that have a garage attached versus those that don’t in each of the five townships. If a home is selected at random, compute the following probabilities:

1. The home has a garage attached.

2. The home does not have a garage attached, given that it is in Township 5.

3. The home has a garage attached and is in Township 3.

4. The home does not have a garage attached or is in Township 2.

Data From North Valley Real Estate:

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Pool Garage Mortgage type Default Record Agent Size (Yes is 1) (Yes is 1) Township Price Bedrooms Baths Days Years FICO (Yes is 1) 206424 1820 346150 3010 372360 3210 Peterson 310622 3330 Marty 2 1.5 33 2 Fixed 2 824 2 Rose 2 36 4 Fixed 820 3 Carter 3 21 2 Fixed 18 819 4 2.5 26 3 Fixed 17 817 4510 Peterson 294066 3440 228810 6ad 4470 4040 4380 5 Carter 496100 4.5 1 13 4 Fixed 17 816 4 31 4 Foxed 19 813 Adjustable Fxed Fxed Fixed Carter 4 2.5 39 4 10 813 kaacs 384420 3.5 26 2 812 Peterson 416120 3.5 26 4 3. 810 10 saacs 487494 6 4 1 32 3 808 5280 Peterson 388960 4420 2970 276000 baod 346421 2970 453913 3660 376146 3290 Peterson 694430 $900 251269 p050 547596 11 Rose 448800 6 4 35 4 Fixed 806 Adjustable Adjustable Fixed 12 4 3. 50 2 805 13 Marty 335610 2.5 1 25 3 9 801 14 Rose 2 1.5 34 20 798 Adjustable Foxed Adjustable Adustable 15 Rose 4 17 3 10 795 16 saacs 4 12 18 792 17 Carter 3.5 1 28 792 18 5 3.5 36 3 10 788 19 Rose 2 38 Fxed 16 786 920 214910 1950 188799 1950 4680 264160 2540 393557 1B0 4660 4220 B600 2990 1920 Feed Fixed Fxed Fixed 20 Rose 4.5 1 37 5. 2 785 21 Marty Rose 1.5 20 4 6 784 22 2 1.5 52 10 782 23 Carter 459950 4 31 4 781 Fxed Fxed 24 saacs 2.5 40 18 780 25 Carter 4 3 54 20 776 Adjustable Adustable FOxed Fxed 26 Isaacs 478675 3.5 1 26 5 9 773 27 Carter 384020 3.5 23 4 772 28 313200 Marty kaacs 3. 31 3 19 772 29 274482 2 1 37 3 769 30 Marty 167962 2 1.5 31 Fixed 769