2. In a different warehouse, book orders are handled by two members of staff, A and B, who take turns to pack each orders as it arrives (this is a non-random alternation). Assume orders arrive as a Poisson process with rate A per hour, that A packs the first order, and that orders are packed instantaneously. Let NA(t) be the number of orders packed by A by time t, and let X₁, X₂.... be the inter-arrival times for the process {NA(t)}. (a) What is the probability distribution for X,? Hint: relate the X, to the times between orders. (b) Is (NA(t)) a Poisson process? Explain your reasoning.
2. In a different warehouse, book orders are handled by two members of staff, A and B, who take turns to pack each orders as it arrives (this is a non-random alternation). Assume orders arrive as a Poisson process with rate A per hour, that A packs the first order, and that orders are packed instantaneously. Let NA(t) be the number of orders packed by A by time t, and let X₁, X₂.... be the inter-arrival times for the process {NA(t)}. (a) What is the probability distribution for X,? Hint: relate the X, to the times between orders. (b) Is (NA(t)) a Poisson process? Explain your reasoning.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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