Unleash the Power of Simulation
Explore probability and statistics with our interactive Monte Carlo Simulation tool. Visualize random processes and understand complex systems with ease.
Monte Carlo Simulation
Explore different probability distributions and observe the power of simulation.
Normal: Mean, Standard Deviation
Uniform: Min, Max
Exponential: Lambda (rate)
Simulated Results
| # | Value |
|---|---|
Summary Statistics
Mean:
Standard Deviation:
Median:
Min:
Max:
Understanding Monte Carlo Simulation
Monte Carlo Simulation is a powerful computational technique that uses repeated random sampling to obtain numerical results. Essentially, it involves running simulations multiple times to predict the probability of different outcomes in a process that cannot easily be predicted due to the intervention of random variables.
This tool allows you to simulate different probability distributions:
- Normal Distribution: Characterized by a bell-shaped curve, defined by mean and standard deviation.
- Uniform Distribution: All outcomes are equally likely within a certain range (min and max).
- Exponential Distribution: Often used to model the time until an event occurs, defined by a rate parameter (lambda).
By adjusting the parameters and number of simulations, you can explore how these distributions behave and understand statistical concepts like mean, median, and standard deviation in a visual and interactive way.