In: Statistics and Probability
The table shows the results of a survey that asked 2850 people whether they were involved in any type of charity work. A person is selected at random from the sample. Find the probability of each event. Give your answers as simplified fractions or as decimals rounded to 3 places.
Frequently | Occasionally | Not at all | Total | |
Male | 221 | 456 | 795 | 1472 |
Female | 207 | 430 | 741 | 1378 |
Total | 428 | 886 | 1536 | 2850 |
a) What is the probability that the person is frequently or occasionally involved in charity work?
b) What is the probability that the person is female or not involved in charity?
c) What is the probability that the person is male given that they are occasionally involved in charity work?
d) What is the probability that the person is female and frequently involved in charity work?
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