This Question: 12 pts This Quiz: 250 pts possible 9 of 24 (14 complete) The tabl
ID: 3257869 • Letter: T
Question
This Question: 12 pts This Quiz: 250 pts possible 9 of 24 (14 complete) The table below shows the results of a survey that asked 2851 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). Not at all Total Frequently Occasionally Male 226 458 794 1478 430 1373 Female 201 742 Total 427 1536 888 2851 (a) Find the probability that the person is frequently or occasionally involved in charity work. eing 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. 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 Click to select your answer(s).Explanation / Answer
When a person is selected at random,
(a) Number of perople frequently involved = 427
Number of perople occaisionally involved = 888
Number of people frequently or occaisionally involved = 427+888 = 1315
Probability that a randomly selected person would be frequently or occaisionally involved = 1315/2851 = 0.461
(b) Total number of females = 1373
Males not involed = 794
Number of people who are females or male not involed in charity = 1373 + 794 = 2167
Probability that a randomly selected person would be female or not involved at all = 2167/2851 = 0.760
(c) Total number of male = 1478
female frequently involved in charity = 201
Number of people who are male and frequently involved in charity = 1478+201 = 1679
Probability that a randomly chosen person is male or frequently involved in charitty = 1679/2851 = 0.589
(d) Total number of females = 1373
Males not frequently involed in charity = 458+794 = 1252
Number of people who are females or not frequenty involed in charity = 1373 + 1252 = 2625
Probability that a randomly selected person would be female or not frequently involved = 2625/2851 = 0.921
(e) The answer is (D). No,because 201 females are frequently involved in charity.
Mutually exclusive means there is no overlap between the two events. However, in the given case, one can be a female and be frequently involved in charity at the same time (201 in number).
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