Question 6. Based on the table in Question 2, define the following events: A={ra

Question

Question 6. Based on the table in Question 2, define the following events:

A={randomly select a house, the house has 3 bedrooms and 2 baths}

B={randomly select a house, the house has 4 bedrooms}

C={randomly select a house, the house has 2 baths}

Compute the probabilities P(A) and P(B), and the conditional probability P(B|C).

(Provide your computational details here)

REAL ESTATE DATA Price = Selling price in $000 Bedrooms = Number of Bedrooms Size = House square feet Pool 1=yes, 0=no Distance = Distance from center of the city Twnship = Township number Garage 1-yes, 0=no Baths = Number of baths Price Bedrooms Size Pool Distance Twnship Garage Baths Bin midpoints 263.1149918 4 2349 0 17 5 1 2 125 62.5 182.3850082 4 2102 1 19 4 0 2 150 137.5 242.0550041 3 2271 1 12 3 0 2 175 162.5 213.5699959 2 2188 1 16 2 0 2.5 200 187.5 139.8599979 2 2148 1 28 1 0 1.5 225 212.5 245.4300041 2 2117 0 12 1 1 2 250 237.5 327.2399918 6 2484 1 15 3 1 2 275 262.5 271.7550041 2 2130 1 9 2 1 2.5 300 287.5 221.1300041 3 2254 0 18 1 0 1.5 325 312.5 266.625 4 2385 1 13 4 1 2 292.4100082 4 2108 1 14 3 1 2 208.9800041 2 1715 1 8 4 1 1.5 270.8100082 6 2495 1 7 4 1 2 246.1050041 4 2073 1 18 3 1 2 194.4 2 2283 1 11 3 0 2 281.3399918 3 2119 1 16 2 1 2 172.6650021 4 2189 0 16 3 0 2 207.4949959 5 2316 0 21 4 0 2.5 198.8550041 3 2220 0 10 4 1 2 209.25 6 1901 0 15 4 1 2 252.3149918 4 2624 1 8 4 1 2 192.9149918 4 1938 0 14 2 1 2.5 209.25 5 2101 1 20 5 0 1.5 345.3300041 8 2644 1 9 4 1 2 326.2949959 6 2141 1 11 5 1 3 173.0699959 2 2198 0 21 5 1 1.5 186.975 2 1912 1 26 4 0 2 257.175 2 2117 1 9 4 1 2 233.0100082 3 2162 1 14 3 1 1.5 180.3600082 2 2041 1 11 5 0 2 233.9550041 2 1712 1 19 3 1 2 207.0899918 2 1974 1 11 5 1 2 247.725 5 2438 1 16 2 1 2 166.1849979 3 2019 0 16 2 1 2 177.1199959 2 1919 1 10 5 1 2 182.6550041 4 2023 0 14 4 0 2.5 216 4 2310 1 19 2 0 2 312.1199959 6 2639 1 7 5 1 2.5 199.8 3 2069 1 19 3 1 2 273.2399918 5 2182 1 16 2 1 3 206.0100082 3 2090 0 9 3 0 1.5 232.2 3 1928 0 16 1 1 1.5 198.3149918 4 2056 0 19 1 1 1.5 205.0649918 3 2012 0 20 4 0 2 175.6350082 4 2262 0 24 4 1 2 307.8 3 2431 0 21 2 1 3 269.1899918 5 2217 1 8 5 1 3 224.775 3 2157 1 17 1 1 2.5 171.5849979 3 2014 0 16 4 0 2 216.8100082 3 2221 1 15 1 1 2 192.6449959 6 2236 0 14 1 0 2 236.3850082 5 2189 1 20 3 1 2 172.3949959 3 2218 1 23 3 0 2 251.3699959 3 1937 1 12 2 1 2 245.9699959 6 2296 1 7 3 1 3 147.4199959 6 1749 0 12 1 0 2 176.0399918 4 2230 1 15 1 1 2 228.4199959 3 2263 1 17 5 1 1.5 166.4550041 3 1593 0 19 3 0 2.5 189.4050041 4 2221 1 24 1 1 2 312.1199959 7 2403 1 13 3 1 3 289.8449959 6 2036 1 21 3 1 3 269.8649918 5 2170 0 11 4 1 2.5 154.3050041 2 2007 1 13 2 0 2 222.075 2 2054 1 9 5 1 2 209.6550041 5 2247 0 13 2 1 2 190.8899918 3 2190 0 18 3 1 2 254.3399918 4 2495 0 15 3 1 2 207.4949959 3 2080 0 10 2 0 2 209.6550041 4 2210 0 19 2 1 2 294.0300041 2 2133 1 13 2 1 2.5 176.3100082 2 2037 0 17 3 0 2 294.3 7 2448 1 8 4 1 2 223.9649918 3 1900 0 6 1 1 2 125.0099979 2 1871 1 18 4 0 1.5 236.8035 4 2583.9 0 17 5 1 2 164.1465 4 2312.2 1 19 4 0 2 217.8495 3 2498.1 1 12 3 0 2 192.213 2 2406.8 1 16 2 0 2.5 125.874 2 2362.8 1 28 1 0 1.5 220.887 2 2328.7 0 12 1 1 2 294.516 6 2732.4 1 15 3 1 2 244.5795 2 2343 1 9 2 1 2.5 199.017 3 2479.4 0 18 1 0 1.5 239.9625 4 2623.5 1 13 4 1 2 263.169 4 2318.8 1 14 3 1 2 188.082 2 1886.5 1 8 4 1 1.5 243.729 6 2744.5 1 7 4 1 2 221.4945 4 2280.3 1 18 3 1 2 174.96 2 2511.3 1 11 3 0 2 253.206 3 2330.9 1 16 2 1 2 155.3985 4 2407.9 0 16 3 0 2 186.7455 5 2547.6 0 21 4 0 2.5 178.9695 3 2442 0 10 4 1 2 188.325 6 2091.1 0 15 4 1 2 227.0835 4 2886.4 1 8 4 1 2 173.6235 4 2131.8 0 14 2 1 2.5 188.325 5 2311.1 1 20 5 0 1.5 310.797 8 2908.4 1 9 4 1 2 293.6655 6 2355.1 1 11 5 1 3 178.9695 3 2442 1 8 4 1 2 188.325 6 2091.1 0 14 2 1 2.5 227.0835 4 2886.4 1 20 5 0 1.5 173.6235 4 2131.8 1 9 4 1 2 188.325 5 2311.1 1 11 5 1 3

Explanation / Answer

P(A)= 34/218.5=0.1556

P(B)= 52.5/218.5=0.2402

P(B|C)= 0.2402+0.5949- 0.1922=0.6429

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