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The following table gives the two-way classification of 500 students based on se

ID: 3229526 • Letter: T

Question

The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety. Suffer From Math Anxiety

If you randomly select one student from these 500 students, the probability that this selected student is a female is: (round your answer to three decimal places, so 0.0857 would be 0.086) If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is: (round your answer to three decimal places, so 0.0857 would be 0.086) If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that he is a male is: (round your answer to three decimal places, so 0.0857 would be 0.086) If you randomly select one student from these 500 students, the probability that this selected student is a female, given that she does not suffer from math anxiety is: (round your answer to three decimal places, so 0.0857 would be 0.086) Which of the following pairs of events are mutually exclusive? No and yes Female and no Male and no Female and yes Female and male Male and yes Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.

sex yes no male 149 91 female 186 74

Explanation / Answer

a)   probability that this selected student is a female =260/500=0.52

b)probability that this selected student suffers from math anxiety =335/500=0.67

c)probability that this selected student suffers from math anxiety, given that he is a male =149/240=0.621

d) probability that this selected student is a female, given that she does not suffer from math anxiety =74/165=0.448

e) No and yes and      Female and male

f)dependent

Has math anxiety" and "Person is female" probabilty =186/500=0.372

which is not equal to probabilty ofHas math anxiety" *probabilty of Person is female"

=(335/500)*(260/500)=0.3484

sex yes no Total male 149 91 240 female 186 74 260 Total 335 165 500
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