Question

# Please give answer in detail dont just make the table also show the formula please I...

I Need this quesiton to solve with formula

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A computer help desk receives new daily customer arrivals according to the following probability distribution:

 # Arrivals Probability Random # 0 0.05 01-05 1 0.2 06-25 2 0.3 26-55 3 0.2 56-75 4 0.15 76-90 5 0.1 91-00

The number of customers that the help desk has the capability to serve per day is based on the following probability distribution:

 # Served Probability Random # 3 0.5 01-50 4 0.3 51-80 5 0.2 81-00

If the number of arrivals exceeds the # served capability, the customers will receive top priority the next day. The random numbers drawn for a 5-day simulation are as follows:

 Arrival Random # Service random # 19 95 34 95 39 92 90 33 97 85

What will the average number of delays be for the 5-day simulation?

Solution

Just for convenience of presentation, following codes are employed in the simulation table below:

RN: Random number; NA: Number of customer arrivals; NC: Number of customers served;

NS: Number of customers served.

 Day Arrivals Served NS Remarks RN NA RN NC 1 19 1 95 5 0 1 < 5 2 34 2 95 5 0 2 < 5 3 39 2 92 5 0 2 < 5 4 90 4 33 3 1 5 97 5 85 5 1 1 NS of Day 4 is served first and so of 5 new arrivals only 4 will be served.

Thus, there is a delay of 2 customers over a 5-day period or an average of 0.4 per day. ANSWER

Explanations:

Number of delays = NA + NS (of preceding day) - NC

No delay if NA < NC.

DONE

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