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

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 Male Female Yes 170 165 No 70 95 If you randomly select one student from these 500 students, the probability that this selected student is a female is: decimal places, so 0.0857 would be 0.086) (round your answer to three (round your answer If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is: 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? Male and no Female and yes No and yes

Explanation / Answer

from above below is table:

1)P( female) =260/500=0.52

2) P(math anxiety)=335/500=0.67

3)P(math anxity|male)=170/240=0.708

4)P(female |no anxiety)=95/165=0.576

mutually exclusive events are:

No and Yes

Male and female

they are dependent as P(female & has math anxiety) is not equal to P(female)*P(math anxiety)

sex Yes No total male 170 70 240 female 165 95 260 total 335 165 500

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