Part B: One student will be selected at random from the class. Consider events X and Y shown.X: the selected student is femaleY: the selected student is right-handedWhich of the following statements about events X and Y is TRUE?O A. The events are not independent because the probability of X is not equal to the probability of X given Y.B. The events are independent because the number of right-handed students in the class is larger than the number of femalestudents.C. The events are independent because the number of categories for dominant hand is different from the number of categories forgender.D. The events are not independent because for one of the dominant hand categories the number of female students is 0. Use the information to answer the following questions.The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student whois ambidextrous uses both hands equally well.Right-handedLeft-handedAmbidextrousTotalMale11416Female1214Total2330

For X and Y to be independent Since Hence, X and Y are not independent

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 14 Total 23 6 1 30

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 14 Total 23 6 1 30

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Part B: One student will be selected at random from the class. Consider events X and Y shown.
X: the selected student is female
Y: the selected student is right-handed
Which of the following statements about events X and Y is TRUE?
O A. The events are not independent because the probability of X is not equal to the probability of X given Y.
B. The events are independent because the number of right-handed students in the class is larger than the number of female
students.
C. The events are independent because the number of categories for dominant hand is different from the number of categories for
gender.
D. The events are not independent because for one of the dominant hand categories the number of female students is 0.

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