In: Statistics and Probability
The table below shows the results of a survey that asked 2867 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (b).
Frequently 
Occasionally 
Not at all 
Total 

Male 
221 
453 
792 
1466 

Female 
208 
450 
743 
1401 

Total 
429 
903 
1535 
2867 
(a) Find the probability that the person is frequently or occasionally involved in charity work.
P(being frequently involved or being occasionally involved)=
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person is female or not involved in charity work at all.
P(being female or not being involved)=
(Round to the nearest thousandth as needed.)
a) P(being frequently involved or being occasionally involved) = P(being frequently involved) + P(being occasionally involved)  P(being frequently involved and being occasionally involved)
= 429/2867 + 903/2867  0
= 0.465
b) P(being female or not being involved) = P(being female) + P(not being involved)  P(being female and not being involved)
= 1401/2867 + 1535/2867  743/2867
= 0.765