The table below shows the results of a survey that asked 2862 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).

FrequentlyOccasionally Not at all Total

Male 228 455 797 1480

Female 206 430 746 1382

Total 434 885 1543 2862

Find the probability that the person is frequently or occasionally involved in charity work

P(being frequently involved or being occasionally involved =

(b)Find the probability that the person is a female or not involved in charity work at all.

P(being female or not being involved =

P(being male or being frequently involved=

P(being female or not being frequently involved=

Are the events"being female" and"being frequently involved in charitywork" mutuallyexclusive? Explain.

A. No, because no females are frequently involved in charity work. B. Yes, because no females are frequently involved in charity work. C. Yes, because 206 females are frequently involved in charity work. D No, because 206 females are frequently involved in charity work.