Math Problem Statement
pn(t+h)= p(n arrivals in t and none in h) + p (n1 arrivals in t and 1 in h)+ ...+ p( no arrivals in t and n in h). explain in details
Solution
Math Problem Analysis
Mathematical Concepts
Poisson Process
Probability Theory
Poisson Distribution
Binomial Theorem
Formulas
Poisson probability formula: P_k(t) = (lambda * t)^k * e^(lambda * t) / k!
Binomial expansion for summing probabilities
Theorems

Suitable Grade Level
Advanced Undergraduate Level
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