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Exponential Distribution Explorer


Modify Parameters and See Results

Time between events in a Poisson process

Parameters

Rate Parameter (λ)
1.00

Average number of events per unit time

Scale Parameter (1/λ)
1.00

Average time between events (mean)

Expected Value (E[X])
1.00

Mean waiting time until the next event

Statistics

Expected Value
1.0000
Variance
1.0000
Std Deviation
1.0000
Mode
0.0000

Probability Calculator

Key Properties

Real-World Applications

  • Time until the next customer arrives at a store
  • Lifetime of electronic components (time until failure)
  • Time between successive radioactive decays
  • Duration of phone calls in a call center
  • Time until the next earthquake in a region
  • Waiting time for the next bus arrival







Understanding the Distribution


Key Parameters


Applications