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
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
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2F9bb29bef-a023-4c11-8db1-63f4bc6ab162%2Fjkkzfuc_processed.jpeg&w=3840&q=75)
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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