Question: A loom stops from time to time and the number X of stops in unit running time is assumed to have a Poisson distribution

A loom stops from time to time and the number X of

A loom stops from time to time and the number X of stops in unit running time is assumed to have a Poisson distribution with parameter , For each stop, there is a probability that a fault will be produced in the fabric being woven. Occurrences associated with different stops may be assumed independent. Let Y be the number of fabric faults so produced in unit running time. What is the distribution of Y?

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