*1. A shop uses 10 identical machines. Each machine breaks down once every 7 hours on the...

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*1. A shop uses 10 identical machines. Each machine breaks down once every 7 hours on the average. It takes half an hour on the average to repair a broken machine. Both the breakdown and repair processes follow the Poisson distribution. Determine the following:

(a) The number of repairpersons needed such that the average number of broken machines is less than 1.

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