Exponential Probability Guide
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Mean wait=1/lambda.
P(X<=x)=1-exp(-lambda*x).
P(X>x)=exp(-lambda*x).
P(a<X<b)=F(b)-F(a).
Use matching rate and time units. Challenge constant rate, independence, and memorylessness.

Original synthetic data generated for STATLAB Academy. No textbook data used.
Educational material for STATLAB Academy. Verify assumptions, units, tail direction, and rounding before making a decision.