docs: update education/statistics/random-variable
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title: 隨機變數 (Random Variable)
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description:
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published: true
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date: 2025-12-28T19:45:28.875Z
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date: 2025-12-28T19:45:37.395Z
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tags:
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editor: ckeditor
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dateCreated: 2025-12-28T16:41:51.938Z
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@@ -97,7 +97,7 @@ dateCreated: 2025-12-28T16:41:51.938Z
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</td>
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</tr>
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<tr>
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<td style="text-align:center;"><strong>Conditional Probability</strong></td>
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<td style="text-align:center;"><strong>Conditional Probability</strong><br><br>The probabilistic properties of the random variable X under the knowledge provided by the value of Y.</td>
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<td>
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<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYkAAAA0CAYAAAB//sSiAAAAAXNSR0IArs4c6QAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAABq9SURBVHhe7V1NTBvX2n5nyPJKdF2W9bhKYEslG+7uayj2IlzpQiW6gEUwWdXm+5pNmxrjkM0liYEVdj6psCjRJb1KKsV2WAe7UukiUklQbLLM/hLdLD1zn3NmxvhnwGeMf/g5I7UK9syZ875nfJ55/573ysLCAslDakBqQGpAakBqwEkDV6RapAakBqQGpAakBo7TgAQJ+WxIDUgNSA1IDRyrAQkS8uGQGjgjGohODhorS4u0RRO0kQyTh0iNx+PGGZnepZ7GZO+2Pr01oHy//h0FNO1SrYsEiUv96EvhW6mBaHTQmFUClHIa1O+n0J0N6tvdVJy+jg6+N4a0bRrIbNAIztmMx/lp0clP9CFvWMnbUBHKEKUCqmFkS7PqqJKq+Rwxxo6DCuauq8GUMvNcx9QUdeEEYIOO9FtqUEka1jT9y1TYCZOmkEp0UFoZ9ipzOYP4t/4Evovw77oBlpVyaYGoagSzpVvTnyv3+p/r+VRUXVi4HAAuQaKVu4Qc61JrIB7fVZLFZYO0CKWw+RVzYcJmr3ALYSpAkYBGoYxh9O3Gq4CCAYQSSLHvACLV38U3/63mMiFdHU0pRggbanKUtKRB2DTVJD5/xD5nG+3R5x1fg4PiHpHhp2ta41tDR+paYVnfA/DljBCld76tBAE1up7Qn3jnlJxvhtLrJnh0AyCYJAcFyEV+ugq5GGjFNzH3nTQHOUq81ecjAIpLYOlJkGj8XMszpAZcaYBvLRNBDhDsQmwuSvROyIgACPYKB9RXMZppfcyTf7lYBxDl0766TQn/I4qQl7wK3tQta+HF0xT2ZgAEwAj7WNc2081/j6gxJEkePr5LQrmSngCN+yOUyzmotfiG8gSA2FmjAGTtFkCwmW0eQq4Y0QfIZdp1WEsGcukZWE7TSiK4o0ei0a7O0dWD2eTJEiSaVJy8TGrAUQN8kyMKeRFR2G2so4OVRbin/LQc9NDhpvP58fimOvm1T58LP1PSuqEH8HZdXB0qebdDSgYA4QVAnKc3Wi7PBOTJpZRfs2sUDBAHF9MVta0k3u50HSBOXLnR27Ts91LkfpbmUgHqVhVBNDqpZ1fvK/ciKcoZPkoUdiisvaMXt6YpmMqRAetuJr1DX35Uevb343rjp9H5DAkSzWpOXic14KAB00URorFRYEQFSGSfsUiFnyYqwAA/cmNlaB4fLxM+pmMwgt/FE/iafJEwLa5+R4b3vq6GByitJwn7a9cAwvbZs/CCf7lA+Ygm7Kdn8vgjedorHhApGkWNSZ3FI/5MvKWkpqiHXXTjVMmVsOSqmA8HuXGfHpm7pyQKo3pE6441cbAyRb961+ll4Sr91TtH+9Dl6oMH5P2/l6SvvaPVYQBZcJbGSsnSVTXasx9vDigkSMitTmqgRRoob/qhO7RruZqikwCCpSmCpwkb6QashcqYQ5HemGZH2TV17FTgopnwRSiyNU1DuCZRyOFtWxwgJj/Z1r3hvCIa1RbZ9OO7fWph2c/HHdA8xIPrtl+mkU4tl1NkK0MFPaxnb3lprv85GQxoDsUCwizjyDsHmQSF8jts+E7T5HIlIBfGHoBFyJao9vB4B/BRChszxzgxN1sjnbj8nrnDPt19jPv3MitB2bu3RDd2kvQfRekBkOmD/UaJ8q/VwjuivlcuB684XYJE87qTV0oN1GjA2vTzAYJ9wLeu+XnEG/whWkbW0mFtZtNBgXj8gkV8D0/2TR25nLBxZXSKeAEQLrJrzLjBiPiKHT6mEaEAAxsyRDdGFUq6wIiyyym8pWRW39DWnwl6uxNAUJ75/cWmacYMXMj0ATIJjm3OgMlFznJp12AXKjzGhJxYsQm36ayD9BaAzKCbPyTp4y+ncy05TVGCRJsWTg57CTWQfcbTX52ylAAQp1JI9AukmY6S4mPvr89e4P9wNHXl/fVIDOYTXxmOIbtqggXOXR8eDW/jSooiEeY6q8pycj1WKy9gcq1CLvKNNyVXK+ciMlbxNWwdX4JuA9BesVQJAGE0+k0JMqhk9JP3M6KPWKBo9n2pJ7inPkDMp+9VNZh807td0p6Mq29fhjEGvqtwTUmQEFkFeY7UgIAG7JRJAcNAYLSKzZjXSiCgCxeT974K19UzylgB7O4GrE3LyZ8IkFd1Z9lw6bR+vI3D5Fr+joIqy9oSczO5Ul5TJ5tyGTPIJjtT86oXpgxoA1bmmx07efectrgMYxT81y89C/v7epz6euZjfTxb60PNUD8fjvTErn+gx3fv1t1EgkRTD5G8SGqgWgNugtBudBeNfqGzormBtOliMrIzJSWVUp69WIMxgddGQZdQO2ISBMvpEdwcM27jEZYCDjL/RBzDT4kA/P5h8w3YzdGumASTC8nFFIKvKeXGh+Zm8q069yDNwcD3d60qdpL9RwR/Q7cwL2A10F/eK6XgI1J9DxGI73vFQYNNARllpVs9QTWlw12VLiETSq3LhJIg0arFkuNccg24CELbmvJ4iYc/3xRppLJ4wvqeA8TQqLLHAq6skpm9aX/1N5qBiya1uEoFI6wjL0goT78dMQk3RXS1D0fZVYWaCGCMWazm8glqV0yirojOaV481RkAeUxg26UozZ9efM3BwcAzVDA0XYtOUnYVKbAxopvPX5bdStFkhkL/H0Rm3GcUge9p39I26j561gqJ0p72RL2GykV6VT8VCRLNL4+8UmqgrAGz3sHtodE15m/ZK9BkMmrYxXfmGx5Lj/VSKh+izI5GAetNOx7/Xf3bDOmpFAK+xTBFupRZw+bIfeEI7moehYors/pS721KRTxqJoS31lRIea6fUBB3kKEnLB3Kfw1+f0emErfKbMn5R/GIhzwt+bhDCEhaMqOTB8k+fQQzYoYSyj36vAcgwNDWj7/fHgEEH+EdkiSMGfr+K4U+ggClCpELb+g3/zj9BHlfseBSDVpLkOjAQspbXGwNmLQaVqIkiqvmEble6NttuPMhw0eZnPAbkcgWpQ8YCpgHq8JeGdIIZQQMQagyTj2JAPYUAtiE98fI9CxlNpJ6AFW/3YhNjI6FyP8ohXjCHoWQ3ssAgls7709eb16H4J03U1fzqCMfJsbfpEfPRPVy43hEGUhmntOcV1E/dCmWchSPGKO5ZEpd6DuK6dTFHTgQAJAdjIV3qO0x+m+Q9xczdlG7ehIkGuxftcyclW97F3vrO9vSwR9tTG0N0J2N27S76Uya1ykJkFevVDfvEii1tibnCd+hUAS8TktZWrBcTowDiuWfljNWd+Plqt7N3/vUEZT42omfu5v4rlOC1tyH1RNcBx/HdfY5ysWrKo9PsBDYdTHG41E+DhEwdetsapPQVjzCD8KmY+s+sksAcB89/GmUIi5Sdls/YxPQauMRTvdhxZxGf7oOCOwsKD9iGjknXxMGkyBxwsodx8zZ+sXu3Ihsc9W2Jsrkc527c2vvBH+0ktsA79GURnsDGWNE4M29tTNozWicFDATMlKBAL13IP9rzV06N4pJraGAEfZb8EyJF/t1boYn34lXxiOYPg5fE6OWqoUuU76Y4uuyFcGlyD7lLs6biIs4zdWWtBIIfvpLppQZ/JE+/Y+dAlugN78R9X//GYUrYhWVWrrwINEsffNJzJzRyV7QOrPsAesAfTNzL9Tdy/q8Gz+Ak+ZfOZ+6OVeyl3K/uO32wFUV350FmRhxXjKX4fTc28tFY+SwuxZFszphlogBoBgKDBH8R2CJPZ9yMPkPVhfJSL+l1OjJlOHN6qqd100O9urTMUXxJdZpDtQgH2qoQeBV0G8NB5U/ARB50LV3O2X3oPAa6jDo0b1ZMPAmj3XXxeM/9wz2+0r5//Wq0zfTlP+ywq3EMtTA+/TgmKA10/eFB4lm6JsbMXPGNw8V0Ddzemc4Y6kImubN+C5jiLTeCjkHQ/nzdj7Yx40tmrNv62ePgx6CpBa9NRuX+cyjG8vGFvsOVcOZDZP6uhvy8A3Iom6urEOwda4EpmiimDOqaS+6NVP392VAkSveNrKg8FikCeO8Nh1iWVR9oIpYEPe4uVdWi6+wU2nnYUGEwB2VYtQgNQAx2fteH556j6ZDb2mNNR2q8P+3eDrCw1Vmd1Uy1ToNsNuHOghenf4HjewfncHjEQhasyC9U9D6UoCErQ439M0izJzEmSBRLQoOzsqNk5urXX7jZjIzdwzzEWPTbPzQeYI0AermvBNJDU/1Y+CRLPMRNR6wPWccKxNfC1g8FX799sygvaPGWWylbwTxhkP2TLX3ZnL0sgaqUmlB3bHgoPrNQ8RfsMf+8fgxttmLcUS/QY2EFkPtxPqxQevLAxIu6JtFi6KOMlOe0aCRNBihG/f3b1e/jZ+Hx6ksSz5Fz7LJcr8D06LapuVirusAcZIej9ZikXrPsTVxHp4VOcfzrwEzRqGp6ryB7Nk0rYc1UHGgduKYF5MrbFPMrizRIjjJWYUe2xDCngPKzjLmSvZqCRMskzu+Ico50Jkb+mZkfwszc3qCE6A7jtDiym3K8TTIAcoY3X3jtmMRbFlYIxtRP70pC6ibraY4JlgiKMya4VQxl3Z+wUVkslk5UVNU1dSn87OVd5QaONsaYDEKuh6jGE9L+wOZZSfbRlcYJ/kz7wbliteIBWPfgJN8ZWmJvLfRtCKJf7PAZQD52NbbcjvF52/iZnK40CGyCbqmb3bBzEmWmyayNcXpm5t54261zMy3XVz2cz0ymmORxjdc2WVZ0rSRixrZWYUiAwjIuwgGt1oW+yEQkomzcrK6tOrOb04PUrvmKfTQypMunQbaRh/SIU1eYX5eZFOAbKuXUxvvLS7RmOV/ZrGnwQGLine 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</td>
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