Question

The table below shows the results of a survey that asked 2867 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (b).

	Frequently	Occasionally	Not at all	Total
Male	221	453	792	1466
Female	208	450	743	1401
Total	429	903	1535	2867

​(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.)

​(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.)

Answer 1

a) P(being frequently involved or being occasionally involved) = P(being frequently involved) + P(being occasionally involved) - P(being frequently involved and being occasionally involved)

                                                        = 429/2867 + 903/2867 - 0

                                                        = 0.465

b) P(being female or not being involved) = P(being female) + P(not being involved) - P(being female and not being involved)

                                                                 = 1401/2867 + 1535/2867 - 743/2867

                                                                 = 0.765