Let the function $a(t),~ t \ge 0$, denotes the probability that there is an arrival in the current period (period $t$) given that no customers arrived in the previous $t-1$ periods. Assuming the inter arrival times to be independent and identically distributed, with $A$ as the generic inter arrival time. How to find the cumulative distribution of $A$?
2026-04-01 16:19:25.1775060365
How to find cumulative distribution function given the first ocurence probability?
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