B) find the probability that the person is female or not involved in charity wor

Question

B) find the probability that the person is female or not involved in charity work at all. C) find the probability that the person is male of frequently involved in charity work. D) find the probability that the person is female or not frequently involved in charity work. Are there events “being female” and being frequently involved in charity work mutually exclusive? Explain. The table below shows the results of a survey that asked 2859 people whether they are inve Frequently Occasionally Not at all 453 440 893 Total 1469 1390 2859 Male 221 Female 201 Total 422 795 749 1544 (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved)- (Round to the nearest thousandth as needed.)

Explanation / Answer

a) P(Being frequently involved or being occasionly involved) = (422 + 893)/2859 = 0.460

b) P(Female or not involved in charity work at all) = (1390 + 795)/2859 = 0.764

c) P(Male or frequently involved in charity work) = (1469 + 201)/2859 = 0.584

d) P(Female or not frequently involved in charity work) = (1390 + 453 + 795)/2859 = 0.923

e) No, because there are 201 females frequently involved in charity work.

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