The two-way table shows the classification of students in a mathematics class by gender anddominant hand. A student who is ambidextrous uses both hands equally well.Right-handedLeft-handed AmbidextrousTotalMale114116Female12214Total23130One student will be selected at random from the class.Consider the events:X: the selected student is femaleY: the selected student is right-handed.Which statement about events X and Y is true?O The events are independent because the number of right-handed students in the class is larger than thenumber of female students.O The events are independent because the number of categories for dominant hand is different from thenumber of categories for gender.The events are not independent because for one of the dominant hand categories the number of femalestudents is 0.The events are not independent because the probability of Xis not equal to the probability of X given Y.

Dependent events influence the probability of other events or their probability of occurring is…

The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student who is ambidextrous uses both hands equally well. Right-handed Left-handed Ambidextrous Total Male Female Total 11 4 1 16 12 2 14 23 6 1 30 One student will be selected at random from the class. Consider the events: X: the selected student is female Y: the selected student is right-handed. Which statement about events X and Y is true?

The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student who is ambidextrous uses both hands equally well. Right-handed Left-handed Ambidextrous Total Male Female Total 11 4 1 16 12 2 14 23 6 1 30 One student will be selected at random from the class. Consider the events: X: the selected student is female Y: the selected student is right-handed. Which statement about events X and Y is true?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

The two-way table shows the classification of students in a mathematics class by gender and
dominant hand. A student who is ambidextrous uses both hands equally well.
Right-handed
Left-handed Ambidextrous
Total
Male
11
4
1
16
Female
12
2
14
Total
23
1
30
One student will be selected at random from the class.
Consider the events:
X: the selected student is female
Y: the selected student is right-handed.
Which statement about events X and Y is true?
O The events are independent because the number of right-handed students in the class is larger than the
number of female students.
O The events are independent because the number of categories for dominant hand is different from the
number of categories for gender.
The events are not independent because for one of the dominant hand categories the number of female
students is 0.
The events are not independent because the probability of Xis not equal to the probability of X given Y.

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