The table below shows the results of a survey that asked 2850 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 225 455 795 1475
Female 202 430 743 1375
Total 427 885 1538 2880
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 nothing
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.
Upper P left parenthesis being female or not being involved right parenthesis equals nothing
P(being female or not being involved)=
?(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 nothing
P(being male or being frequently involved)=
?(Round to the nearest thousandth as? needed.)
?(d) Find the probability that the person is female or not frequently involved in charity work.
Upper P left parenthesis being female or not being frequently involved right parenthesis equals nothing
P(being female or not being frequently involved)=
?(Round to the nearest thousandth as? needed.)
?(e) Are the events? "being female" and? "being frequently involved in charity? work" mutually? exclusive? Explain.