Question

size	Female	Male	f
S	17	10	27
M	8	40	48
L	90	46	136
XL	120	0	120
XXL	12	27	39

1. If the available t-shirts are: S (23), M (50), L (136), XL (200) and XXL (100), what is the probability of the students who have:

1. Size M, L
2. Size S, XXL
3. Size XL
4. What is the proportion of females with size M from the students who their size is M?
5. What is the proportion of males who need size XXL t-shirt.
6. What the probability of males and females with size XL of the new student in the collage?

What is the proportion of males that their size is not M or XXL?

Answer 1

Size	Female	Male	Total
S	17	10	27
M	8	40	48
L	90	46	136
XL	120	0	120
XXL	12	27	39
Total	247	123	370

I. probability of the students who have M,L = (48 + 136)/370 = 0.4972973

II. probability of the students who have S, XXL = (27 + 39)/370 = 0.1783784

III. probability of the students who have XL = 120/370 = 0.3243243

IV.  proportion of females with size M from the students who their size is M = 8/40 = 0.2

V. proportion of males who need size XXL t-shirt = 12/370 = 0.03243243

VI. probability of males and females with size XL of the new student in the collage = 120 / 370 = 0.3243243

VII. proportion of males that their size is not M or XXL = (10 + 46) / 123 = 0.4552846