Listed below is a table that gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety. Round answers to three decimal places example: 0.0857 would be 0.086 (SUFFERS FROM MATH ANXIETY) NO 64 101 MALE FEMALE YES 176 159 Randomly select one student from these 500 students, the probability that this selected student is a female ____ Randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety ____ Randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that he is a male ____ 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 ____ Which of the following pairs of events are mutually exclusive? __ Male and yes__Female and yes __ No and yes __Male and no __ Female and no __ Female and male Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this. __ independent __ dependent