The table below shows the results of a survey that asked 28542854 people whether

Question

The table below shows the results of a survey that asked 28542854 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 221221 459459 796796 14761476 Female 204204 430430 744744 13781378 Total 425425 889889 15401540 28542854 (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)= (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)= (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)= (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 nothingP(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. A. Yes, because no females are frequently involved in charity work. B. Yes, because 204204 females are frequently involved in charity work. C. No, because no females are frequently involved in charity work. D. No, because 204204 females are frequently involved in charity work.

Explanation / Answer

from above:

a) probability that the person is frequently or occasionally involved in charity work.

=(425+889)/2854 =0.460

b)

P(being female or not being involved) =(1378+1540-744)/2854=0.762

c)

P(being male or being frequently involved) =(1476+425-221)/2854=0.589

d)

P(being female or not being frequently involved)=(1378+459+796)/2854 =0.923

e)

D. No, because 204 females are frequently involved in charity work.

frequently occasionally not at all total male 221 459 796 1476 female 204 430 744 1378 total 425 889 1540 2854

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