QNT275-The following table gives the two-way classification of 500

1. 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 AnxietySexYesNoMale17268Female16397If 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?AMale and noBFemale and yesCFemale and maleDNo and yesEMale and yesFFemale and noAre the events “Has math anxiety” and “Person is female” independent or dependent? Detail the calculations you performed to determine this:Independent or Dependent2. For the probability distribution of a discrete random variablex, the sum of the probabilities of all values ofxmust be:Aequal to 1Bequal to 0.5Cin the range zero to 1Dequal to zero3. The following table lists the probability distribution of a discrete random variablex:x2345678P(x)0.150.310.230.130.100.060.02The mean of the random variablexis: ??? The standard deviation of the random variablex, rounded to three decimal places, is: ???4. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1350 and a standard deviation of 100.In your intermediate calculations, roundz-values to two decimal places. The probability that the sales on a given day at this store are more than$1405, rounded to four decimal places, is:????.The probability that the sales on a given day at this store are less than$1305, rounded to four decimal places, is:????.The probability that the sales on a given day at this store are between$1200 and$1300, rounded to four decimal places, is:????.