Using the results in the Student Data Table, determine the following probabilities based on the variables Birthday Month and School Enrolled.

1. Probability of a student having a June birthday.
   1. 1/12 chance of having a June birthday
2. Contingency table of having a June birthday by students in Applied Science and Technology or not.
   1. Show the probability of a student having a birthday in June on the contingency table.
   2. P(June birthday AND Not in Applied Science and Technology)
   3. P(June birthday OR Not in Applied Science and Technology)
   4. P(June birthday GIVEN Not in Applied Science and Technology)
3. Draw a tree diagram that represents selecting two students, at random andwithout replacement, that have a June birthday.
4. Draw a tree diagram that represents selecting two students, at random andwith replacement, with a June birthday.
5. Explain why 3 and 4 have different outcomes.

1	Applied Science and Technology	4	April	7	72	10	7	480	240
2	Arts and Sciences	12	February	0	62	10	7	540	180
3	Applied Science and Technology	6	February	0	62	7	6	400	45
4	Applied Science and Technology	5	April	11	68	10	7	420	120
5	Business and Management	20	July	0	68	7.5	7	350	120
6	Nursing	10	June	10	68	12	8	440	15
7	Public Service	48	July	15	68	14	8	540	75
8	Arts and Sciences	48	June	30	70	12	9	480	120
9	Applied Science and Technology	36	October	32	72	11	8	320	80
10	Applied Science and Technology	32	November	36	75	14	7	440	60
11	Applied Science and Technology	4	September	1	72	12	8	360	60
12	Applied Science and Technology	1	July	19	62	9	7	540	90
13	Applied Science and Technology	18	April	49	70	11	8	360	120
14	Applied Science and Technology	24	March	40	72	12	8	330	120
15	Applied Science and Technology	7	April	10	66	9	7	420	60
16	Applied Science and Technology	6	October	2	64	7	6	330	45
17	Applied Science and Technology	12	August	20	70	11	9	300	90
18	Applied Science and Technology	7	February	5	73	12	8	420	120
19	Applied Science and Technology	15	June	67	70	11	8	420	120
20	Applied Science and Technology	15	April	0	72	13	8	480	240
21	Applied Science and Technology	36	April	25	74	12	8	300	60
22	Nursing	1	May	4	63	10	6	300	60
23	Applied Science and Technology	1	January	33	70	11	9	300	90
24	Applied Science and Technology	1	November	3	72	10	6	420	120
25	Arts and Sciences	48	November	6	65	9	6	480	60
26	Air Traffic Control	17	December	5	71	12	9	420	60
27	Air Traffic Control	9	September	30	69	10	6	240	90
28	Applied Science and Technology	4	December	12	72	11	8	360	120
29	Applied Science and Technology	18	December	14	71	11	8	420	60
30	Applied Science and Technology	3	May	0	71	11	6	420	90
31	Business and Management	30	July	14	78	14	8	420	60
32	Bachelor of Science in Business Administration	16	November	10	65	9	7	480	60
33	Applied Science and Technology	48	October	5	75	13	9	480	120
34	Applied Science and Technology	5	September	0	74	11	8	420	300
35	Natural Sciences and Mathematics	23	October	43	66	10	7	400	60
36	Applied Science and Technology	12	July	25	72	13	7	420	120
37	Applied Science and Technology	3	February	15	72	12	8	450	120
38	Applied Science and Technology	7	May	8	72	12	7	360	120
39	Applied Science and Technology	48	February	35	70	10	7	400	120
40	Applied Science and Technology	8	November	15	69	11	8	360	90
41	Arts and Sciences	8	February	0	62	10	7	540	180
42	Applied Science and Technology	24	November	15	72	10.5	8	450	180
43	Business and Management	16	November	5	64	10	7	420	120
44	Applied Science and Technology	7	February	21	68	10	8	360	60
45	Applied Science and Technology	9	July	10	67	10	7	420	150
46	Bachelor of Science in Nuclear Energy Engineering Technology	4	April	4	67	10	7	390	180
47	Bachelor of Science in Health Sciences	12	February	10	64	7	6	480	120
48	Bachelor of Science in Nuclear Energy Engineering Technology	4	January	0	70	9	8	540	120
49	Bachelor of Science in Business Administration	60	April	26	72	14	8	360	180
50	Applied Science and Technology	10	July	25	74	12	8	450	120
51	Bachelor of Science in Business Administration	4	May	23	72	12	8	420	60
52	Arts and Sciences	12	May	16	65	6	6	450	120
53	Business Administration in Operations Management	12	February	0	69	10	8	360	180
54	Applied Science and Technology	12	October	20	70	10	8	240	180
55	Applied Science and Technology	9	November	30	74	12	11	240	180
56	Applied Science and Technology	1	February	0	72	11	9	360	120
57	Arts and Sciences	11	August	60	74	11	8	390	120
58	Bachelor of Science in Radiation Protection and Health Physics	7	November	7	66	9	7	540	180
59	Applied Science and Technology	48	December	32	75	13	10	240	120
60	Applied Science and Technology	33	December	0	63	9	7	420	180
61	Bachelor of Science in Healthcare Management	11	January	7	60	9	6	360	180
62	Bachelor of Arts in Psychology	4	July	18	64	8	6	420	180
63	Aviation Flight Technology	10	June	0	70	11	7	360	90