The following table gives the two-way classification of 500 students based on se
ID: 3179718 • 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 Sex Yes No Male 186 54 Female 149 111 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? Female and no Male and yes Female and yes Male and no Female and male No and yes Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.
Explanation / Answer
Following is the completed table:
Out of 500 students, 260 are female so the probability that this selected student is a female is:
P(female) = 260 /500 = 0.520
Out of 500 students, 335 students suffer from Math anxiety so the probability that this selected student suffers from math anxiety is:
P(math anxiety) = 335 /500 = 0.670
Out of 240 males, 186 suffers from math anxiety so the probability that this selected student suffers from math anxiety, given that he is a male is:
P(math anxiety|males) = 186/240 = 0.775
Out of 165 students that do not suffer from math anxiety, 111 are female so the probability that this selected student is a female, given that she does not suffer from math anxiety is:
P(female| do not suffer from math anxiety) = 111/165 = 0.6727
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Female and No : Not mutually exclusive
Male and Yes: Not mutually exclusive
Female and Yes:Not mutually exclusive
Male and No:Not mutually exclusive
Female and Male: Mutually exclusive
No and Yes: Mutually exclusive
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P(has math anxiety) = 335/500
P(female) = 260/500
P(has math anxiety and female) = 149/500
Since P(has math anxiety and female) is not equal to P(has math anxiety)P(female) so the events "Has math anxiety" and "Person is female" are dependent.
Yes No Total Male 186 54 240 Female 149 111 260 Total 335 165 500Related Questions
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