Question

The table below shows the results of a survey that asked

28632863

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).

	Frequently	Occasionally	Not at all	Total
Male	224	456	791	1471
Female	205	440	747	1392
Total	429	896	1538	2863

​(a) Find the probability that the person is frequently or occasionally involved in charity work.

Upper P left parenthesis being frequently involved or being occasionally involved right parenthesis equals nothingP(being frequently involved or being occasionally involved)=nothing

​(Round to the nearest thousandth as​ needed.)

​(b) Find the probability that the person is female or not involved in charity work at all.

Upper P left parenthesis being female or not being involved right parenthesis equals nothingP(being female or not being involved)=nothing

​(Round to the nearest thousandth as​ needed.)

​(c) Find the probability that the person is male or frequently involved in charity work.

Upper P left parenthesis being male or being frequently involved right parenthesis equals nothingP(being male or being frequently involved)=nothing

​(Round to the nearest thousandth as​ needed.)

​(d) Find the probability that the person is female or no

Answer 1

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

                                              = 429/2863 + 896/2863

                                              = 0.4628

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

                                                                 = 1392/2863 + 1538/2863 - 747/2863

                                                                 = 0.7625

c) P(being male or being frequently involved) = P(being male) + P(being frequently involved) - P(being male and being frequently involved)

                                                                        = 1471/2863 + 429/2863 - 224/2863

                                                                        = 0.5854