Suppose in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it.
a)Represent all this information in the form of a cross tabulation or probability contingency table.
b)Show probability tree diagrams for all the possible random events that can occur (with their probabilities) if a student is picked randomly in this class.
Answers
Step-by-step explanation:
I hope this will help you
Given : in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it.
To Find : Represent all this information in the form of a cross tabulation
Show probability for all the possible random events that can occur if a student is picked randomly in this class.
Solution:
Total Students = 170
Male M = 90
Female F = 80
Male like Playing Football 55
Male does not like Playing Football 35
Female like Playing Football 10
Female does not like Playing Football 70
Male Female Total
Like Football 55 10 65
Do not Like Football 35 70 105
Total 90 80 170
Male who like playing football = 55/170 = 11/34
Male who does not like playing football = 35/170 = 7/34
Female who like playing football = 10/170 = 1/17
Female who does not like playing football =70/170 = 7/17
Like playing football = 65/170 = 13/34
Does not like playing football = 105/170 = 21/34
Male = 90/170 = 9/17
Female = 80/170 = 8/17
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