any type of charity work. A person is selected at random from the sample. Comple

Question

any type of charity work. A person is selected at random from the sample. Complete he table below shows the results of a survey that asked 2873 people whether they are involved in FrequentlyOocasionaly Not at all Total 1478 Male228 Female207 Total435 457 440 897 793 748 1541 1396 being frequently involved or being oocasionally involved) Round to the nearest thousandth as needed.) ) Find the probability that the person is female or not involved in charity work at all. (being female or not being involved) ound to the nearest thousandth as needed.) ) Find the probability that the person is male or frequently involved in charity work. being male or being frequently involved) ound to the nearest thousandth as needed. ) Find the probability that the person is female or not frequently involved in charity work. being female or not being frequenty involved)- Round to the nearest thousandth as needed.) ) Are the events "being female" and "being frequently involved in charity work" mutually exclusive? Explain.

Explanation / Answer

a) P(frequently or ocaassionaly involved in charity work) = (435+897)/2873

= 0.464

b) P(female or not involved) = (1395 + 793)/2873

= 0.762

c) P(male or frequently involved) = (1498+207)/2873

= 0.593

d) P(female or not frequently involve) = 1 - P(male and frequently involved)

= 1 - 228/2873

= 0.921

e) No, because there are some people who are females and are frequently involved in charity work.

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