Refine pricing display and Gaussian context

frontend/components/dashboard/scan-terminal/TemperatureChartCanvas.tsx

@@ -331,7 +331,7 @@ function TemperatureChartCanvasComponent({
                   payload={props.payload as ReadonlyArray<{ payload?: Record<string, any> }> | undefined}
                   data={zoomedData}
                   series={activeSeries}
-                  probabilityOverlay={null}
+                  probabilityOverlay={probabilityOverlay}
                   tempSymbol={tempSymbol}
                   isEn={isEn}
                 />

frontend/components/dashboard/scan-terminal/TemperatureTooltipContent.tsx

@@ -123,10 +123,31 @@ function buildTooltipProbabilityRows(
   tempSymbol: string,
   isEn: boolean,
 ): TooltipProbabilityRow[] {
-  void probabilityOverlay;
-  void tempSymbol;
-  void isEn;
-  return [];
+  if (!probabilityOverlay) return [];
+  const rows: TooltipProbabilityRow[] = [];
+  const mu = validNumber(probabilityOverlay.muLine?.value);
+  if (mu !== null) {
+    rows.push({
+      key: "legacy_probability_mu",
+      label: isEn ? "Gaussian μ" : "高斯 μ",
+      value: `${mu.toFixed(1)}${tempSymbol}`,
+      color: "#8b5cf6",
+    });
+  }
+
+  const topBand = [...probabilityOverlay.bands]
+    .filter((band) => validNumber(band.probability) !== null)
+    .sort((a, b) => b.probability - a.probability)[0];
+  if (topBand) {
+    const probabilityPct = Math.round(topBand.probability * 100);
+    rows.push({
+      key: topBand.key,
+      label: topBand.label,
+      value: `${probabilityPct}%`,
+      color: "#a78bfa",
+    });
+  }
+  return rows;
 }
 
 export const __buildTemperatureTooltipRowsForTest = buildTooltipRows;

frontend/components/dashboard/scan-terminal/__tests__/temperatureDefaultVisibilityPolicy.test.ts

@@ -1660,7 +1660,7 @@ export function runTests() {
   const firstBand = bandPoints[0].runway_band;
   assert(Array.isArray(firstBand) && firstBand[0] === 24.0 && firstBand[1] === 26.0, "runway_band tuple values should match input limits");
 
-  // ── Legacy Gaussian probability data should not render as a visible chart overlay ──
+  // ── Legacy Gaussian probability data should be available as compact tooltip context only ──
   const gaussianOverlayChart = __buildTemperatureChartDataForTest(
     {
       city: "toronto",
@@ -1688,9 +1688,13 @@ export function runTests() {
   ) as any;
 
   const gaussianOverlay = gaussianOverlayChart.probabilityOverlay;
-  assert(gaussianOverlay === null, "legacy Gaussian probabilities should not create visible chart overlays");
+  assert(
+    gaussianOverlay?.muLine?.label === "Gaussian μ 27.4°C" &&
+      gaussianOverlay.bands.length === 3,
+    "legacy Gaussian probabilities should remain available for compact tooltip context",
+  );
   assert(
     !gaussianOverlayChart.series.some((series: any) => String(series.key || "").includes("probability")),
-    "legacy Gaussian probability distribution should not be rendered as a time-series line",
+    "legacy Gaussian probability distribution should not be rendered as a time-series line on the main chart",
   );
 }

frontend/components/dashboard/scan-terminal/__tests__/temperatureTooltipContent.test.ts

@@ -1,3 +1,7 @@
+import {
+  readFileSync,
+} from "node:fs";
+import path from "node:path";
 import {
   __buildTemperatureTooltipProbabilityRowsForTest,
   __buildTemperatureTooltipRowsForTest,
@@ -73,7 +77,23 @@ export function runTests() {
   );
 
   assert(
-    probabilityRows.length === 0,
-    "temperature tooltip should not show Gaussian μ or probability-band rows",
+    probabilityRows.length === 2,
+    "temperature tooltip should show Gaussian μ and the leading probability bucket as compact context",
+  );
+  assert(
+    probabilityRows.some((row) => row.key === "legacy_probability_mu" && row.value === "27.4°C") &&
+      probabilityRows.some((row) => row.key === "legacy_probability_27_0" && row.value === "42%"),
+    "temperature tooltip should format Gaussian μ and probability values without drawing a full probability band on the main chart",
+  );
+
+  const projectRoot = process.cwd();
+  const chartCanvasSource = readFileSync(
+    path.join(projectRoot, "components", "dashboard", "scan-terminal", "TemperatureChartCanvas.tsx"),
+    "utf8",
+  );
+  assert(
+    chartCanvasSource.includes("probabilityOverlay={probabilityOverlay}") &&
+      !chartCanvasSource.includes("probabilityOverlay={null}"),
+    "temperature chart canvas must pass probability overlay data into the tooltip instead of hiding Gaussian μ",
   );
 }

frontend/components/dashboard/scan-terminal/temperature-chart-logic.ts

@@ -2179,9 +2179,9 @@ function buildFullDayChartData(
     return point;
   });
 
-  // Keep probability data in the payload for market views, but do not draw
-  // legacy Gaussian bands on the live temperature chart.
-  const probabilityOverlay = null;
+  // Keep legacy Gaussian data as compact tooltip context. It is not rendered
+  // as a time-series line on the live temperature chart.
+  const probabilityOverlay = buildLegacyGaussianProbabilityOverlay(row, hourly);
 
   return { data, series, probabilityOverlay };
 }