Refer to the Real Estate data, which report information on the homes sold by Goo
ID: 3247426 • Letter: R
Question
Refer to the Real Estate data, which report information on the homes sold by Goodyear, Arizona area for the last year. A sort the data into a table that shows the number of homes that have a pool versus the number that doesn't have a pool in each of the five townships. If a home is selected at random, compute the probabilities. 1. the home is in Township 1 or has a pool. 2. Given that it is in Township 3, that it has a pool. 3. 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 probabilities. a. The home has a garage attached. 2. The homes 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.
Price Bedrooms Size Pool Distance Twnship Garage Baths 263.1 4 2300 0 17 5 1 2 182.4 4 2100 1 19 4 0 2 242.1 3 2300 1 12 3 0 2 213.6 2 2200 1 16 2 0 2.5 139.9 2 2100 1 28 1 0 1.5 245.4 2 2100 0 12 1 1 2 327.2 6 2500 1 15 3 1 2 271.8 2 2100 1 9 2 1 2.5 221.1 3 2300 0 18 1 0 1.5 266.6 4 2400 1 13 4 1 2 292.4 4 2100 1 14 3 1 2 209 2 1700 1 8 4 1 1.5 270.8 6 2500 1 7 4 1 2 246.1 4 2100 1 18 3 1 2 194.4 2 2300 1 11 3 0 2 281.3 3 2100 1 16 2 1 2 172.7 4 2200 0 16 3 0 2 207.5 5 2300 0 21 4 0 2.5 198.9 3 2200 0 10 4 1 2 209.3 6 1900 0 15 4 1 2 252.3 4 2600 1 8 4 1 2 192.9 4 1900 0 14 2 1 2.5 209.3 5 2100 1 20 5 0 1.5 345.3 8 2600 1 9 4 1 2 326.3 6 2100 1 11 5 1 3 173.1 2 2200 0 21 5 1 1.5 187 2 1900 1 26 4 0 2 257.2 2 2100 1 9 4 1 2 233 3 2200 1 14 3 1 1.5 180.4 2 2000 1 11 5 0 2 234 2 1700 1 19 3 1 2 207.1 2 2000 1 11 5 1 2 247.7 5 2400 1 16 2 1 2 166.2 3 2000 0 16 2 1 2 177.1 2 1900 1 10 5 1 2 182.7 4 2000 0 14 4 0 2.5 216 4 2300 1 19 2 0 2 312.1 6 2600 1 7 5 1 2.5 199.8 3 2100 1 19 3 1 2 273.2 5 2200 1 16 2 1 3 206 3 2100 0 9 3 0 1.5 232.2 3 1900 0 16 1 1 1.5 198.3 4 2100 0 19 1 1 1.5 205.1 3 2000 0 20 4 0 2 175.6 4 2300 0 24 4 1 2 307.8 3 2400 0 21 2 1 3 269.2 5 2200 1 8 5 1 3 224.8 3 2200 1 17 1 1 2.5 171.6 3 2000 0 16 4 0 2 216.8 3 2200 1 15 1 1 2 192.6 6 2200 0 14 1 0 2 236.4 5 2200 1 20 3 1 2 172.4 3 2200 1 23 3 0 2 251.4 3 1900 1 12 2 1 2 246 6 2300 1 7 3 1 3 147.4 6 1700 0 12 1 0 2 176 4 2200 1 15 1 1 2 228.4 3 2300 1 17 5 1 1.5 166.5 3 1600 0 19 3 0 2.5 189.4 4 2200 1 24 1 1 2 312.1 7 2400 1 13 3 1 3 289.8 6 2000 1 21 3 1 3 269.9 5 2200 0 11 4 1 2.5 154.3 2 2000 1 13 2 0 2 222.1 2 2100 1 9 5 1 2 209.7 5 2200 0 13 2 1 2 190.9 3 2200 0 18 3 1 2 254.3 4 2500 0 15 3 1 2 207.5 3 2100 0 10 2 0 2 209.7 4 2200 0 19 2 1 2 294 2 2100 1 13 2 1 2.5 176.3 2 2000 0 17 3 0 2 294.3 7 2400 1 8 4 1 2 224 3 1900 0 6 1 1 2 125 2 1900 1 18 4 0 1.5 236.8 4 2600 0 17 5 1 2 164.1 4 2300 1 19 4 0 2 217.8 3 2500 1 12 3 0 2 192.2 2 2400 1 16 2 0 2.5 125.9 2 2400 1 28 1 0 1.5 220.9 2 2300 0 12 1 1 2 294.5 6 2700 1 15 3 1 2 244.6 2 2300 1 9 2 1 2.5 199 3 2500 0 18 1 0 1.5 240 4 2600 1 13 4 1 2 263.2 4 2300 1 14 3 1 2 188.1 2 1900 1 8 4 1 1.5 243.7 6 2700 1 7 4 1 2 221.5 4 2300 1 18 3 1 2 175 2 2500 1 11 3 0 2 253.2 3 2300 1 16 2 1 2 155.4 4 2400 0 16 3 0 2 186.7 5 2500 0 21 4 0 2.5 179 3 2400 0 10 4 1 2 188.3 6 2100 0 15 4 1 2 227.1 4 2900 1 8 4 1 2 173.6 4 2100 0 14 2 1 2.5 188.3 5 2300 1 20 5 0 1.5 310.8 8 2900 1 9 4 1 2 293.7 6 2400 1 11 5 1 3 179 3 2400 1 8 4 1 2 188.3 6 2100 0 14 2 1 2.5 227.1 4 2900 1 20 5 0 1.5 173.6 4 2100 1 9 4 1 2 188.3 5 2300 1 11 5 1 3Explanation / Answer
1. The home is in Township 1 or has a pool.
The number of home is in Township 1 or has a pool = 76
Total number of home = 105
Probability = 76/105 = 0.7238
2. Given that it is in Township 3, that it has a pool.
Probability = Number of Home in Township 3 and have pool)/ Number of Home in Township 3
= 18/ 25 = 0.72
3. The home has a pool and is in township 3.
Probability = Number of Home in Township 3 and have pool/ Total number of homes
= 18/105 = 0.1714
b. 1. The home has a garage attached.
Probability = Number of Home with Garage/ Total number of homes
= 71/105 = 0.6762
2. The homes does not have a garage attached, given that it is in township 5.
Probability = Number of Home with Garage and in township 5/ Total number of homes in township 5
= 12/16 = 0.75
3. The home has a garage attached and is in township 3.
Probability = Number of Home with Garage and in township 3/ Total number of homes
= 15/105 = 0.1428
4. The home does not have a garage attached or is in township 2.
Probability = Number of Home with no Garage or in township 2/ Total number of homes
= 49/105 = 0.4667