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        Yes       No

Male      193      47

Female    142      118  

(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:

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)

Male and yes

No and yes

Female and male

Female and yes

Female and no

Male and no

Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.

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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?

Male and yes

No and yes

Female and male

Female and yes

Female and no

Male and no

Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.

Independent .Dependent.resp_1

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Explanation / Answer

From the table given,

A) P(female)=(142+118)/500 = 52%

B) P(math anxiety)= (193+142)/500= 67%

C) P(anxiety/male)=P(anxiety and male)/P(male)= 193/( 193+47)=80.42%

D) P(female/anxiety)=P(anxiety and female)/P(anxiety)= 142/(193+142)=42.39%

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