ID	School Enrolled	Months enrolled	Birthday month	Distance to Work	Height	Foot Size	Hand Size	Sleep	Homework
1	Arts and Sciences	12	January	0	60	8	5	360	30
2	Applied Science and Technology	6	February	0	62	7	6	400	45
3	Business and Management	8	April	5	66	10	7	420	60
4	Nursing	10	June	10	68	12	8	440	15
5	Public Service	48	July	15	68	14	8	540	75
6	Arts and Sciences	48	June	30	70	12	9	480	120
7	Applied Science and Technology	36	October	32	72	12	8	320	80
8	Applied Science and Technology	32	November	36	75	14	7	440	60
9	Nursing	6	July	8	63	9	7	300	90
10	Arts and Sciences	22	May	22	80	14	9	420	30
11	Business and Management	15	February	10	65	8	6	500	60
12	Public Service	20	April	4	71	10	8	400	20
13	Applied Science and Technology	11	March	15	66	9	7	440	60
14	Arts and Sciences	18	November	28	64	9	7	300	30
15	Arts and Sciences	29	January	12	72	10	8	360	80
16	Nursing	13	December	6	63	8	6	480	100
17	Business and Management	49	August	0	79	13	9	410	25
18	Applied Science and Technology	16	April	10	74	12	8	430	15
19	Business and Management	24	September	30	66	10	6	330	60
20	Arts and Sciences	8	May	0	65	9	7	480	30

1. Probability of a student 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.