Q.8 [4 marks] The following contingency table shows information collected at a school for a group of 130 students based on gender and which hand is their dominant hand: Right-handed Left-handed Total Female 58 13 71 Male 47 12 59 Total 105 25 130 wa If one student is randomly selected from the group, what is the

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Q.8 [4 marks] The following contingency table shows information
collected at a school for a group of 130 students based on gender and
which hand is their dominant hand:
Right-handed
58
Left-handed
Total
Female
Male
13
71
47
12
59
Total
105
25
130
If one student is randomly selected from the group, what is the
probability this student:
(i) is a Female;
(ii) is Female given that he is Left-handed.
(iii) Are the events "Females" and "Left-handed" independent?
Explain;
(iv) Are the events "Females" and "Left-handed' mutually
exclusive? Explain.
Transcribed Image Text:Q.8 [4 marks] The following contingency table shows information collected at a school for a group of 130 students based on gender and which hand is their dominant hand: Right-handed 58 Left-handed Total Female Male 13 71 47 12 59 Total 105 25 130 If one student is randomly selected from the group, what is the probability this student: (i) is a Female; (ii) is Female given that he is Left-handed. (iii) Are the events "Females" and "Left-handed" independent? Explain; (iv) Are the events "Females" and "Left-handed' mutually exclusive? Explain.
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