Question: 1. In a homogeneous arrivalcounting Poisson process (Nt) with rate A, a counting device misses counting an event with probability p, independent of everything else.

1. In a homogeneous arrivalcounting Poisson process (Nt) with rate A,

1. In a homogeneous arrivalcounting Poisson process (Nt) with rate A, a counting device misses counting an event with probability p, independent of everything else. Prove that the actually counted process (Zt) is a homogeneous arrivalcounting Poisson process with rate A(1 p)

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