Question

The need for a particular type of machine at oil well is random event and independent....

The need for a particular type of machine at oil well is random event and independent. It is known that the average need is 3 machines per week (3 machines/week). Generally, requesting and purchasing new equipment and resources from the head office is placed every Monday and arrived by the end of the week (Thursday noon). If last Monday only one machine was available in the oil well, so the manager requested 5 additional machines to be delivered by end of the week. (a) What is the probability (%) that 10 machines will be needed next month? (b) What is the probability (%) that only one machine will be available on Thursday morning before the new equipment delivered. (c) What is the probability (%) that obtaining at least one machine from the manager will not be possible (currently occupied & unavailable) by Thursday morning? (d) What is the probability (%) of at least 4 machines will be available on next Monday

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