The waiting time T at a bank teller’s window between two successive customers is distributed as exponential with a mean of four minutes. Find the following probabilities: (a) P(T ≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), a

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The waiting time T at a bank teller’s window between two successive customers is
distributed as exponential with a mean of four minutes. Find the following probabilities:
(a) P(T ≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T < 5).


NOTE: Please explain each part, so the problem can be used as a Study Guide

The waiting time T at a bank teller's window between two successive customers is
distributed as exponential with a mean of four minutes. Find the following proba-
bilities:
(a) P(T≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T <5).
Transcribed Image Text:The waiting time T at a bank teller's window between two successive customers is distributed as exponential with a mean of four minutes. Find the following proba- bilities: (a) P(T≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T <5).
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