Suppose a shop opens at 10am. People start arriving at 9 am and queue in front of the shop. The arrivals follow a non-ho

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answerhappygod
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Suppose a shop opens at 10am. People start arriving at 9 am and queue in front of the shop. The arrivals follow a non-ho

Post by answerhappygod »

Suppose a shop opens at 10am. People start arriving at 9 am and
queue in front of the shop. The arrivals follow a non-homogeneous
Poisson process with rate function λ(t) = 25t^2 (t = 0 refers to 9
am and t = 1 to 10 am).
Find the distribution of the number of people waiting in
front of the shop when the shop opens?
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