{
  "schemaVersion": 1,
  "lessonId": "probability-01",
  "contentHash": "07740e69631bef1b6b0ef282ad669820ddd7ea9ea6b8a9a681b0cf8b2661e1e5",
  "rendererHash": "a1bd5b648f4731ae5d5f0a24811c2540d1a0a132149ce589d17c4113509cbedf",
  "kind": "executed",
  "generatedAt": "2026-10-20T10:46:16.734000+00:00",
  "provenance": "recorded_cpu_computation",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "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\n",
  "data": {
    "kind": "line",
    "x": [
      1,
      4,
      16,
      64,
      100,
      400
    ],
    "xlabel": "independent observations N",
    "ylabel": "standard deviation (reading units)",
    "xscale": "log",
    "series": [
      {
        "label": "individual reading",
        "y": [
          3.0,
          3.0,
          3.0,
          3.0,
          3.0,
          3.0
        ]
      },
      {
        "label": "average of N readings",
        "y": [
          3.0,
          1.5,
          0.75,
          0.375,
          0.3,
          0.15
        ]
      }
    ]
  }
}