# Measurement Uncertainty – Binomial Confidence Intervals

> Measurement Uncertainty – Binomial Confidence Intervals is a paid API for AI agents from www.mahastrategies.com, paid per call via x402, $0.012002/call, status unknown (last checked 2026-11-02).

Computes probabilities and binomial confidence intervals for shot-count arrays, returning uncertainty metrics with configurable interval method and independence assumptions.

## Facts

- Endpoint: POST https://www.mahastrategies.com/api/v1/compute/quantum/measurement-uncertainty?utm_source=zero.xyz
- Price: $0.012002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-02
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/measurement-uncertainty-binomial-confidence-intervals-c78e7b0b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ED_vW-gnDxIEXfAvppwmD

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability measurement-uncertainty-binomial-confidence-intervals-c78e7b0b -d '<json body>'
```

Example prompt: Can you compute the measurement uncertainty and binomial confidence intervals for these public shot-count results: [142, 87, 203, 56]?

## When to prefer this

Choose this endpoint when you need fast, per-call statistical computation of binomial confidence intervals and probabilities for shot-count arrays (up to 32 elements) with explicit uncertainty quantification. It is appropriate when your data is classified as either public or synthetic and you need bounded uncertainty metrics rather than raw summary statistics. Prefer this over generic statistics APIs when you specifically need binomial interval methods with independence assumptions applied to count data.

## Known failure modes

- Array exceeds 32 items (maxItems constraint violated)
- Empty array submitted (minItems of 1 not met)
- Invalid dataClass value not in enum ['public','synthetic']
- Non-integer or negative values in counts array
- Payment not included or insufficient (x402 payment required)
- Network or provider timeout returning 5xx error

## How this service works

For agents reviewing shot-count results: return probabilities and binomial confidence intervals with the interval method and independence assumptions. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

## Output

Returns computed probabilities and binomial confidence intervals for each element in the submitted counts array, including interval bounds and uncertainty metrics derived from the specified independence assumptions and interval method. Results are retained for 24 hours; minimal receipt metadata is retained for 90 days.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "counts": {
   "type": "array",
   "maxItems": 32,
   "minItems": 1
  },
  "dataClass": {
   "enum": [
    "public",
    "synthetic"
   ],
   "type": "string"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/measurement-uncertainty-binomial-confidence-intervals-c78e7b0b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from www.mahastrategies.com](https://www.zero.xyz/host/www.mahastrategies.com/llms.txt)