Question

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

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?

Answer 1

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