{
  "schemaVersion": 1,
  "lessonId": "probability-01",
  "contentHash": "07740e69631bef1b6b0ef282ad669820ddd7ea9ea6b8a9a681b0cf8b2661e1e5",
  "executedAt": "2026-10-20T10:48:36.575595+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "sample mean, variance: 2.0067408084869385 9.035282135009766\nstable equal-mixture log density: -1000.3799438476562\nsample mean, variance: 2.0067408084869385 9.035282135009766\nstable equal-mixture log density: -1000.3799438476562\npeak density: 3.9894230365753174\n-5.0 -2.379885673522949\nPASS: probability-01\n",
  "notebookCells": [
    {
      "sourceHash": "2a9fd939f8a246c9a99eb03e49b4cfd7b06d79c795996569dd4f1124fc6e2f49",
      "outputs": []
    },
    {
      "sourceHash": "1f58b713409a5af92bfd814a1c5b6c8462731de6e138947eff9efc96de91c5a6",
      "outputs": []
    },
    {
      "sourceHash": "325ddae03b9fc686e2192097efce7b77896133b2175d6eb882aa11fd2d3bd7b3",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "sample mean, variance: 2.0067408084869385 9.035282135009766\n",
            "stable equal-mixture log density: -1000.3799438476562\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "138e0b09da82f6fc81895901b3b33a80e56db41c194ab31a14d49582443efb61",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "sample mean, variance: 2.0067408084869385 9.035282135009766\n",
            "stable equal-mixture log density: -1000.3799438476562\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "784b2161ec4abc5f462bb816d2920760ae13b94880597965bd983bfe3ad70ede",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "8e7f6cee2ea7dc1bf2031be55248de10b8ccbc2cef0a005f835166941b0a29c0",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "peak density: 3.9894230365753174\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8a32a0aaab4475769427fe2fd8f55c4767484d90b775c8d5aa1190e9af98b0aa",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-5.0 -2.379885673522949\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "5459b174d528f28c6f35845b8adf2fbc2ba69af940afbeb9cc5d2541b92db9a7",
      "outputs": []
    },
    {
      "sourceHash": "13670dd5990aab889d9ab0188918aac3ae637704e5097fc4163fcde9d755d415",
      "outputs": []
    },
    {
      "sourceHash": "93f45450c0f19b28ee63d93c676ee5b72011aad2cffc02507db4379f63e2dbcb",
      "outputs": []
    },
    {
      "sourceHash": "20c1eebdccda88082512ff618c7d25ed126fb29412e74806530228d473e1b502",
      "outputs": []
    },
    {
      "sourceHash": "9e51cf5f9750d4e2c1df209493e9e66239ce251e50c0840db7acf5e38510c612",
      "outputs": []
    },
    {
      "sourceHash": "0aff9b44b74a6042f036f235de35850e1c2a6f187adf43db1cc4412caa0fa4b7",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
