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Ubify Financial Advisory Board
FINANCIAL ANALYSTS & CPA REVIEWERS
About This Tool
The random number generator (RNG) produces uniform random integers within customizable lower and upper bounds. Whether drawing winning raffle numbers, rolling custom dice values for gaming, generating statistical sampling test cases, or making unbiased binary decisions, this utility computes discrete random picks with immediate statistical metrics.
### Uniform Probability Distribution Formulas
For a continuous closed integer interval $[\text{min}, \text{max}]$: - **Total Interval Range:** $R = \max(1, \text{max} - \text{min} + 1)$ - **Individual Number Probability:** $P = \frac{1}{R}$ - **Integer Pick Formula:** $\text{Pick} = \lfloor \text{Math.random()} \times R \rfloor + \text{min}$ - **Sample Mean:** $\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i$
### Worked Drawing Example
Drawing $5\text{ random numbers}$ between $1$ and $100$ ($R = 100 - 1 + 1 = 100$): 1. **Theoretical Draw Probability:** $1 / 100 = 1\%$ per number on each draw. 2. **Sample Draw Output:** **14, 42, 73, 88, 91** ($n = 5$). 3. **Sample Mean:** $\frac{14 + 42 + 73 + 88 + 91}{5} = \frac{308}{5} = \mathbf{61.6}$. 4. **Expected Population Mean:** $\frac{1 + 100}{2} = 50.5$.
### Local In-Browser Processing
All number generation and array statistics calculate synchronously in your client browser upon button click. No draw seeds, numerical bounds, or generated results are transmitted over the internet.
How to Use
- 1
Enter the minimum integer bound into the Minimum Value field (default is 1).
- 2
Enter the maximum integer bound into the Maximum Value field (default is 100).
- 3
Specify how many numbers you wish to draw in a single batch (from 1 up to 20 picks).
- 4
Review the generated numbers, calculated sample mean, and theoretical probability ratio.
- 5
Copy the generated picks directly into your spreadsheet or contest notes.
Frequently Asked Questions
Are the generated numbers truly uniform across the entire range?
Yes. The algorithm applies standard uniform pseudo-random scaling where each integer within the specified minimum and maximum bounds has an equal mathematical likelihood of selection.
Can the generator draw negative numbers or zero?
Yes. You can enter negative values in the Minimum Value input (e.g., -50 to +50) to generate numbers across positive and negative integer spaces.
Are my generated picks or range parameters sent to any server?
No. The entire calculation runs in your local web browser session using client-side JavaScript with zero network requests.