A class of statistics students was asked, "Regarding your weight, do you think you are: about right, overweight, or underweight?" The following table displays the results by gender.
|
|
Perception about Weight
|
|
Gender
|
About Right
|
Overweight
|
Underweight
|
Total
|
|
Female
|
87
|
39
|
3
|
129
|
|
Male
|
64
|
3
|
16
|
83
|
|
Total
|
151
|
42
|
19
|
212
|
Event A: the student is a female
Event B: the student is male whose weight perception's "about right"
Event C: The student whose weight perception is either "overweight" or "underweight"
a. What is the probability of Event A? Set up calculation
b. What is the probability of Event B? Set up calculation
c. What is the probability of Event C? Set up calculation
d. Are Events A and B mutually exclusive? Explain.
e. Are Events B and C mutually exclusive? Explain.