A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed: 70 percent reported that they attend...

 A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed:

            70 percent reported that they attend religious services regularly

            30 percent reported that they do not attend religious services regularly

 Of the men surveyed:

             20 percent said they attend religious services regularly

            80 percent reported that they do not attend religious services regularly

 (a) Use the information above to complete the following contingency table:            [3 marks]

 (b) Using your answer to part (a), calculate the probability that a randomly selected respondent who attends religious services regularly is a male.                                                        [3 marks]

(c) Are the events ‘attend religious services regularly’ and ‘respondent is male’ independent? Give reasons for your answer.                             [3 marks]

(d) Are the events ‘attend religious services regularly’ and ‘respondent is male’ mutually exclusive? Give reasons for your answer.                [3 marks]