In: Statistics and Probability
The table below shows the results of a survey that asked
28632863
people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (e).
Frequently 
Occasionally 
Not at all 
Total 


Male 
224 
456 
791 
1471 

Female 
205 
440 
747 
1392 

Total 
429 
896 
1538 
2863 
(a) Find the probability that the person is frequently or occasionally involved in charity work.
Upper P left parenthesis being frequently involved or being occasionally involved right parenthesis equals nothingP(being frequently involved or being occasionally involved)=nothing
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person is female or not involved in charity work at all.
Upper P left parenthesis being female or not being involved right parenthesis equals nothingP(being female or not being involved)=nothing
(Round to the nearest thousandth as needed.)
(c) Find the probability that the person is male or frequently involved in charity work.
Upper P left parenthesis being male or being frequently involved right parenthesis equals nothingP(being male or being frequently involved)=nothing
(Round to the nearest thousandth as needed.)
(d) Find the probability that the person is female or no
a) P(being frequently involved or being occasionally involved) = P(being frequently involved) + P(being occasionally involved)
= 429/2863 + 896/2863
= 0.4628
b) P(being female or not being involved) = P(being female) + P(not being involved)  P(being female and not being involved)
= 1392/2863 + 1538/2863  747/2863
= 0.7625
c) P(being male or being frequently involved) = P(being male) + P(being frequently involved)  P(being male and being frequently involved)
= 1471/2863 + 429/2863  224/2863
= 0.5854