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table shows the results of a survey that asked 2855 people

table shows the results of a survey that asked 2855 people whether they are involved in any type of charity work.

 a person is selected at random from the sample.

complete a through e.

                                           frequently                                         occasionally                     not at all                        total

male                                       225                                                     457                                     791                              1473

female                                    209                                                      430                                     743                              1382

total                                         434                                                       887                                    1534                            2855

a. find probability that the person is frequently  or occasionally involved in chartiy work.  round to three decimals

b.  find the probability that the person is female or not involoved in charity work at all.

c. find the probability that the person is male or frequently involved in charity work 

d.  find the probability that the person is female or not frequently involved in charity work

e. are the events “being female” and “being frequently involved in chartity work: mutually exclusive?

 
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