{
  "model": "rate_leak_montecarlo v1",
  "seed": 20260622,
  "n_trials": 200000,
  "years": 10,
  "households": 6700,
  "base_bill_mo": 80.0,
  "pi_fail": 0.15,
  "upgrade_full": 1180000,
  "upgrade_one": 118000,
  "p_benefit_gt_full_upgrade": 0.851,
  "p_benefit_gt_one_tower": 0.851,
  "p_benefit_positive": 0.851,
  "p_leak_gt_full_upgrade": 1.0,
  "benefit_M": {
    "p10": 0.0,
    "p50": 11.115,
    "p90": 14.378,
    "mean": 9.918
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  "leak_M": {
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    "p50": 19.793,
    "p90": 22.498,
    "mean": 19.835
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  "per_household_10yr_leak_p50": 2954.0,
  "benefit_hist": {
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      0.529,
      1.058,
      1.587,
      2.115,
      2.644,
      3.173,
      3.702,
      4.231,
      4.76,
      5.289,
      5.817,
      6.346,
      6.875,
      7.404,
      7.933,
      8.462,
      8.991,
      9.519,
      10.048,
      10.577,
      11.106,
      11.635,
      12.164,
      12.693,
      13.221,
      13.75,
      14.279,
      14.808,
      15.337,
      15.866,
      16.395,
      16.923
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    "counts": [
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      0,
      0,
      1,
      2,
      1,
      12,
      30,
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      163,
      362,
      713,
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      14946,
      15389,
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      14698,
      13124,
      11019,
      9026,
      6851,
      4970,
      3564,
      2455,
      1609
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  },
  "sensitivity": [
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      "pi_fail": 0.1,
      "a_mode": 0.035,
      "p_benefit_gt_full": 0.902,
      "benefit_p50_M": 9.71
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      "pi_fail": 0.1,
      "a_mode": 0.045,
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      "benefit_p50_M": 11.29
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    {
      "pi_fail": 0.1,
      "a_mode": 0.06,
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    },
    {
      "pi_fail": 0.15,
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      "p_benefit_gt_full": 0.85,
      "benefit_p50_M": 9.51
    },
    {
      "pi_fail": 0.15,
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      "p_benefit_gt_full": 0.85,
      "benefit_p50_M": 11.11
    },
    {
      "pi_fail": 0.15,
      "a_mode": 0.06,
      "p_benefit_gt_full": 0.851,
      "benefit_p50_M": 13.53
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    {
      "pi_fail": 0.25,
      "a_mode": 0.035,
      "p_benefit_gt_full": 0.75,
      "benefit_p50_M": 9.05
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    {
      "pi_fail": 0.25,
      "a_mode": 0.045,
      "p_benefit_gt_full": 0.75,
      "benefit_p50_M": 10.63
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    {
      "pi_fail": 0.25,
      "a_mode": 0.06,
      "p_benefit_gt_full": 0.75,
      "benefit_p50_M": 13.03
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}
