Find the probability-the person will be inexperienced

Question

Discuss the following problems:

Q1: X school has compiled a large database of survey responses from 288 individuals which contains the following information:

(1) Gender (2) Age (3) Department (4) Position (5) Tenure

(6) Overall Job Satisfaction

(7) Intrinsic Job Satisfaction - Satisfaction with the actual performance of the job

(8) Extrinsic Job Satisfaction- Things external to the job, e.g., office location, your work colleagues, your own office (cubicle/hard walled office, etc), etc.

	Male	Female	Total
21 and under	19	29	48
22 - 49	142	246	388
50 and over	90	48	138
Human Resources	3	8	11
Information Technology	58	142	200
Administration	264	267	531
Hourly Employee	77	86	163
Salaried Employee	86	164	250
Less than 2 years w/co	79	91	170
2 to 5 years w/co	52	84	136
Over 5 years w/co	45	105	150
Least Satisfied w/Job (Overall)	482.7	708.4	1191.1
Most Satisfied w/Job (Overall)	49	7	56
Least Satisfied w/Job (Intrinsic)	581.18	817.1	1398.28
Most Satisfied w/Job (Intrinsic)	42	63	105
Least Satisfied w/Job (Extrinsic)	553.7	678.7	1232.4
Most Satisfied w/Job (Extrinsic)	56	126	182
Total	2679.58	3670.2	6349.78

Part 1

The Probability the person being a female.

The Probability the person is between 22 and 49 years.

The Probability they are overall Job satisfaction is 4.7 or lower.

Part 2

The Probability the person will be male in Info. Tech. Dept.

The Probability the person will be hourly whose intrinsic satisfaction is 6 or more.

Part 3

The Probability the person will be inexperienced.

The Probability the person will be experienced.

Calculate the correlation between age and tenure with the company. Explain results.

Part 4

What's the chance the person will be in administration.

What's the chance the person will be either female or has extrinsic job satisfaction on 4 or less.

Q2: How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals and other ways that probability is used in business.

GENDER	AGE	DEPT	POSITION	TENURE	OVERALL	INTRINSIC	EXTRINSIC
2	2	3	2	3	6.2	6.33	7
1	1	1	1	2	4.6	3.83	6.5
1	2	3	1	1	2.4	5.33	6
2	2	3	2	1	5.8	6.17	3
1	2	3	2	1	2.8	5.33	3
1	1	2	1	2	2.6	5.33	4
2	1	3	1	2	3.8	4	5
1	2	3	1	1	6.6	6.17	2.5
1	3	3	2	2	7	5	6
1	3	3	2	3	5.4	6.33	5.5
2	2	3	2	1	5.6	5.2	6
1	1	1	1	2	5	6.17	5.5
2	2	2	2	2	4	5.17	4
2	2	3	1	1	3.6	6.67	6
2	2	3	1	2	4.8	4.17	6
1	1	2	2	2	4	5.17	5
2	2	2	1	1	4	4.67	4
1	2	3	2	1	1.6	2.67	4
2	3	2	1	2	6.6	5	6.5
2	1	1	2	2	4.6	4.25	5
2	2	3	2	1	1.6	5.17	4
2	2	3	1	1	2.8	6.17	6
2	2	2	1	2	3.6	6.5	4
2	2	3	2	2	2	3.67	1.5
1	2	3	1	1	6.8	6.83	6
1	2	2	1	2	5	4.83	5
2	2	3	2	2	2.6	6	2
1	2	3	1	1	6.4	4.5	6
2	1	2	1	1	4.2	6	6
2	2	2	2	1	5.4	3.17	5
1	2	3	2	1	4.4	5	7
1	2	3	1	1	5	4.17	6
2	2	2	1	1	3.8	4.33	4
2	2	2	1	3	3.2	5.17	1
2	2	3	1	1	5	5	4
1	2	3	1	1	7	7	7
2	3	2	2	1	4	5.5	6
1	2	3	1	2	6.8	7	5.5
2	2	2	2	3	3.8	5.33	6
2	2	2	1	1	4.6	4.33	6
2	2	3	1	3	3.2	4.67	4
2	2	2	1	2	2	3.67	6
1	2	3	1	1	6.2	5.67	7
1	2	3	1	2	4.6	5.17	6
2	2	3	1	1	4.8	5.5	6
2	2	3	2	3	5.4	6.17	5.5
1	2	3	1	2	5	5	5
1	2	3	1	1	4.2	5.83	6
1	3	3	1	3	4.6	4.67	4
1	3	2	2	1	3.2	3.83	4
2	2	3	2	3	4	6.17	5
2	2	3	2	1	3.8	6.17	5
2	3	3	2	1	4.2	4.5	6
2	2	2	2	3	5.6	6	5
2	2	3	1	3	5.6	5.83	6
1	2	3	1	1	7	6.83	7
2	2	3	1	1	4.6	5	6
2	3	2	2	1	2	5.83	2
1	3	3	1	1	2.8	5.67	1.5
1	2	3	1	1	3	4.33	5.5
2	2	2	2	1	3	5.24	6
1	1	2	1	2	4.6	5.67	2
2	2	2	1	2	4.6	5	4
2	2	3	1	1	5.4	5.67	7
2	2	2	1	1	5.2	6.17	2
1	2	3	1	1	4	4.67	6
1	2	3	1	1	5.2	5.17	2
2	2	3	2	1	4.8	5	2
1	2	3	2	1	3.4	7	6
1	3	3	2	1	3.4	4.5	6
1	3	3	1	1	3.6	5.17	6
1	3	3	2	1	4	5.5	6
1	2	2	1	1	1.8	3	3
2	3	2	2	2	4.8	5	6
1	2	2	1	3	3.6	4.83	2.5
2	2	2	1	1	4.2	5	6
2	1	2	1	1	4.8	4.5	5.5
1	2	2	1	1	5.4	4.67	6
2	2	3	1	3	4	4.17	6.5
1	2	3	1	1	4.8	5.5	4.5
1	2	3	2	3	4.4	3.33	6
2	1	3	1	2	4.8	5.17	4
1	3	3	2	1	2	5	6
1	2	3	1	1	4.8	5	6
2	2	2	1	1	4.6	6.33	6.5
2	3	3	2	1	3.8	6.33	5.5
1	2	3	2	1	6.6	7	5.5
2	2	3	1	2	3.6	6.67	6
1	2	2	2	3	2.6	3.83	3
2	2	2	1	1	5.4	5.67	4
1	3	3	1	1	3.2	5	6
2	2	3	2	3	2.4	5.33	3.5
2	2	3	1	2	4.6	4.75	5.5
2	3	2	1	1	4.6	4.5	3
2	2	3	2	3	4.2	4.83	4
1	3	3	2	1	4.6	4.33	5.5
2	2	2	1	1	3.2	6.5	5.5
2	2	2	2	2	4.2	6	7
2	2	3	2	3	4.4	5.5	7
2	2	2	2	3	3.4	6.17	6
1	2	2	1	2	3.2	4.83	6
2	2	2	2	1	4.6	6.33	7
1	2	3	1	1	5	4.83	6
2	2	2	2	1	2.8	4.33	5.5
2	2	3	1	1	3.8	5	1
2	3	2	1	3	3.8	2	1.5
2	2	2	1	1	1	2	1
2	1	1	2	2	3.8	5	6
2	1	2	2	1	5.6	6.83	7
1	3	2	2	2	6	6.33	6.5
1	2	3	1	2	2.2	4	2.5
1	2	3	1	1	3.4	4.5	4
2	2	2	1	1	4.2	7	5.5
1	2	2	2	2	4	4.67	6
2	2	3	2	1	4.2	3.5	1.5
2	2	3	1	1	6	6.67	3
1	2	3	1	1	3.4	5.33	2
2	1	3	1	2	3.6	4.83	4
2	2	3	2	1	3.8	4.83	4
1	2	3	2	1	6.6	6.83	6
2	3	3	2	1	3.8	4.83	7
2	1	2	2	2	4	4.5	1.5
1	2	3	1	1	5.2	5	6
2	2	3	2	1	1	5.17	1
2	2	3	2	2	6.2	7	7
1	2	3	2	1	7	6.83	6
2	2	2	1	3	5	3.5	5
1	2	2	1	1	7	6.5	6
2	2	2	2	3	5.2	5	6
2	1	2	2	2	2	5.17	1.5
2	1	2	2	2	2.8	4.5	6
2	2	2	1	1	5.6	5.33	5
1	2	3	1	1	2.6	4.5	4
1	2	3	2	1	3.2	4.33	2.5
2	1	1	1	1	6	6.67	6
2	2	3	2	1	3.4	5.5	6
2	2	2	2	2	2	4.5	7
1	2	3	1	1	6.6	5.17	5.5
2	2	3	2	1	6.2	4.83	4.5
1	3	3	2	1	5	5	2
1	1	2	2	1	2.6	4	5
2	2	2	2	2	5	5.17	6
1	1	3	1	2	5.6	5.67	6
1	2	3	2	1	4.4	5.67	6
2	1	1	1	2	3.6	5	4.5
1	1	1	1	2	2.2	4.17	4.5
1	2	3	1	2	7	7	7
1	2	3	2	1	1.8	4.33	3
1	3	3	2	1	3.6	4.17	6
1	2	3	1	1	4	5.17	2
2	1	1	1	2	6.2	6.33	5.5
1	2	2	1	3	5.8	5.83	5
1	2	3	1	1	4.6	6.17	3
2	2	3	1	1	4	4.67	4
1	2	3	1	1	5.8	6.17	7
2	2	2	1	1	5.4	4.83	6.5
2	1	2	2	3	3	3.67	4
2	2	3	2	1	5.8	5.67	7
2	2	3	2	1	3.2	5.33	1.5
1	1	2	1	1	2	4.67	2.5
1	3	3	1	1	4.6	5	6
1	1	3	2	1	4	5.33	6.5
1	2	3	1	1	3.4	4.67	6
2	3	3	2	1	3.4	6.33	4
2	3	3	2	3	4.4	5.3	5
2	2	3	1	3	6	7	3
1	3	3	1	3	5.2	5.67	5.5
2	2	3	2	3	6	6.83	6
1	3	3	2	3	5.6	5.83	6
2	3	2	2	3	7	7	1.5
1	3	3	1	3	1.8	5.33	5.5
2	1	1	2	2	4	3.5	3
2	2	3	1	1	3.8	5.5	4
2	2	3	2	2	5	3.17	4.5
2	2	3	2	1	3.2	5.33	4.5
1	2	3	1	1	2.6	5.67	6
2	3	3	2	1	2	5.67	6
2	2	2	2	2	3.6	5.33	3
1	2	2	2	1	5.6	5.67	4.5
1	2	3	1	1	4.8	4.33	6
2	2	3	2	3	5.4	5	6.5
2	2	3	1	1	6	5	7
2	2	3	1	1	4.4	5.33	4.5
1	1	3	1	1	4.2	4.17	5
2	2	3	1	1	4.6	5.33	6.5
2	1	3	1	1	4.2	5.67	4
2	2	3	1	1	5.8	6.33	6
1	1	2	1	2	3	4.67	6
2	2	2	1	1	2.2	1	1
1	3	3	1	3	5.2	4.33	4
2	2	3	1	2	1	4.67	5
1	2	3	2	1	4	4.5	6
1	2	3	2	3	2.2	6.17	1.5
2	2	3	1	1	6	6.67	5
2	2	2	1	1	5.6	6.33	6
2	2	3	2	1	5	7	2.5
2	2	2	2	3	4.8	4.67	4
1	3	2	1	1	6.2	4.83	4
2	3	2	1	3	1	5	1
2	2	3	1	1	5	5	7
2	2	3	1	1	4.4	6.5	5.2
2	2	3	2	2	5.6	5.83	5
2	1	2	2	1	5	5.17	4
1	3	3	1	1	4	5.5	6
2	2	2	1	1	4.6	5.33	3
1	1	3	1	2	5.8	7	5.5
2	3	3	1	3	2.4	4.33	6
1	1	2	2	3	3.8	3.83	3
2	2	2	2	3	4.2	4.67	3
2	1	3	1	1	3.8	6	6
1	2	3	2	1	4.8	4.33	6.5
1	2	3	2	1	3	5	6
1	2	3	1	1	4.8	6.33	6.5
1	1	3	1	2	2.8	5.5	5.5
2	1	3	1	1	5.4	5.33	6
2	2	3	2	3	3.2	3	6
2	1	3	1	1	6.2	6.33	6
2	2	3	1	2	6.2	5.67	2
1	2	3	1	2	7	6.5	6
2	2	3	1	1	5.6	6.17	6
1	3	3	1	1	4.6	5	6
1	2	3	1	1	4.6	4.5	4.5
1	2	3	2	1	2.8	5	1
2	2	2	2	2	4.4	3.5	4.5
2	2	2	1	1	5.8	4.17	5
2	2	2	1	1	4.6	5.17	3
1	2	2	2	1	4.8	5	7
2	2	1	1	1	4.2	7	5.5
1	3	2	2	2	5.2	6	5.2
2	1	2	1	1	2.2	5.17	5.5
2	1	2	2	1	6	5.33	7
2	2	3	1	3	3.4	4.5	6
2	2	2	2	1	3.8	5.17	6
2	1	2	2	2	3.6	6	7
2	2	3	2	1	5.4	4.5	7
2	2	3	2	1	4.2	6.33	6
1	2	3	1	1	5.2	5.33	5.5
2	2	2	1	1	4	6.33	2.5
2	2	2	1	1	5.8	7	6
2	1	2	2	1	1.8	3	4
2	2	2	2	1	2	7	6
1	1	2	1	2	3.6	4.17	4.5
2	2	3	1	2	4.6	4.17	6.5
2	2	2	2	1	3.2	5.17	5.5
1	2	2	2	1	5.8	4.67	5
1	3	2	2	1	2.6	5	1
2	1	2	2	2	4.8	6.83	6
2	2	2	2	2	4	4.5	4
2	2	2	2	2	3.6	4.17	2
2	2	3	1	3	5.8	5	6
1	2	3	2	3	1.8	5.33	6
1	3	3	1	1	5	6.17	7
2	2	3	2	2	1.8	4	1
2	2	3	1	1	6.2	7	5.5
2	2	3	2	1	2	5.33	1.5
1	1	3	1	1	4.6	5	3.5
1	3	3	2	1	6	6.17	6.5
2	2	3	1	3	6.2	5.67	4
2	2	3	1	3	5.8	5.83	6
1	3	3	2	1	3.4	6.17	5.5
1	3	3	1	1	6.2	5	6
1	1	2	1	2	1.6	5.67	5
2	1	3	2	1	5.8	5.83	3.5
1	2	3	2	1	4.6	4.5	5.5
2	2	2	1	1	5.8	6	5
2	2	3	1	1	3.6	5	4.5
2	3	2	2	3	4.4	4.17	3.5
2	2	3	2	3	5.8	5.5	6
2	2	1	2	3	4	4.17	4
1	2	3	1	3	5.4	5	6
2	1	2	1	2	5	5.33	5.5
1	2	3	1	1	4	4.33	6
2	2	3	1	1	2.8	4.5	1
1	1	3	1	1	5.5	5	6
1	3	3	2	1	5.2	4.67	6
1	2	2	1	2	3.8	5	5.5
2	1	3	1	1	5	6.17	7
2	2	2	1	2	4.2	4.83	4.5
2	2	2	2	1	4.8	6.33	5
2	2	3	1	1	4	5	7
1	2	2	1	1	4.6	3.67	6
1	2	3	1	3	5.2	6.33	6
2	2	3	1	2	2	4.83	6.5
1	2	2	1	2	6	6.17	1
2	2	3	1	1	4	3.67	7
2	2	3	2	2	4.6	6.5	5.5
2	2	3	1	3	3	3.67	5
1	3	3	1	1	5.4	5.67	6.5
456	574	742	413	456	1247.1	1503.28	1414.4

KEY TO JOB SATISFACTION SURVEY
Gender		Tenure With Company
1	Male	1	Less than 2 years
2	Female	2	2 to 5 years
Age		3	Over 5 Years
1	21 and under
2	22-49	OVERALL	Scale from 1-7
3	50 and over	JOB SATISFACTION	1= Least Satisfied
Department			7= Most Satisfied
1	Human Resources
2	Information Technology	INTRINSIC	Scale from 1-7
3	Administration	JOB SATISFACTION	1= Least Satisfied
			7= Most Satisfied
Position
1	Hourly Employee (Overtime Eligible)	EXTRINSIC	Scale from 1-7
2	Salaried Employee (No Overtime)	JOB SATISFACTION	1= Least Satisfied
			7= Most Satisfied