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[lab-intro-prob]Sergio Florido #195

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50 changes: 46 additions & 4 deletions your-code/main.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -24,7 +24,19 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"P(A U B) = P(A) + P(B) - P(A and B)\n",
"P(A U B) = 0.30 + 0.60 - 0.10\n",
"P(A U B) = 0.80\n",
"P(A and not B) = P(A) - P(A and B) = 0.3 - 0.1 = 0.2\n",
"P(A and (B U not B)) = P(A) = 0.3\n",
"P(not A and not B) = 1 - P(A U B) = 1 - 0.8 = 0.2\n",
"P(not (A and B)) = 1 - P(A and B) = 1 - 0.1 = 0.9\n",
"\n",
"1 - False\n",
"2 - True\n",
"3 - False\n",
"4 - False\n",
"5 - True\n",
"\"\"\""
]
},
Expand All @@ -49,7 +61,13 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"Total Balls = w 10 + r 12 + b 8 = 30\n",
"\n",
"a) 10/30\n",
"b) 10/29\n",
"c) 11/28\n",
"d) 12/30\n",
"\n",
"\"\"\""
]
},
Expand All @@ -75,7 +93,15 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"rain = 0.5\n",
"cloudy = 0.4\n",
"month = 0.1\n",
"\n",
"P(rain | cloudy) = (P(cloudy | rain) * P(month)) / P(cloudy)\n",
"P(rain | cloudy) = (0.5 * 0.1) / 0.4 \n",
"P(rain | cloudy) = 0.05 / 0.4 \n",
"P(rain | cloudy) ≈ 0.125 * 100 = 12.5%\n",
"\n",
"\"\"\""
]
},
Expand Down Expand Up @@ -116,7 +142,23 @@
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
" Y - M - T\n",
"M 324 156 480\n",
"W 351 169 520\n",
"T 675 325 1000\n",
"\n",
" Y - M - T\n",
"M 32.4 15,6 48,0\n",
"W 35,1 16,8 52,0\n",
"T 67,5 32,5 100\n",
"\n",
"FOR INDEPENDENT\n",
"P(A AND B) = PA X PB\n",
"P(A AND B) = 67.5% * 48.0% = 32.4%\n",
"\n",
"Man|Yes = 32.4\n",
"\n",
"They are independent!\n",
"\"\"\""
]
}
Expand Down