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] Attend religious services regularly Do not attend religious services regularly Total Women 30 Men 20 Total 50 (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]
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
|
|
Attend religious services regularly |
Do not attend religious services regularly |
Total |
|
Women |
|
|
30 |
|
Men |
|
|
20 |
|
Total |
|
|
50 |
(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
(d) Are the events ‘attend religious services regularly’ and ‘respondent is male’ mutually exclusive? Give reasons for your answer. [3 marks]
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