Complete the below:
1 The following table is based on a random sample of 100 employee in a large fortune 500 company
No of days a week one exercises
2 or fewer days 18 (Male) 12 (Female)
3 or more days 32(Male) 38 (Female)
a) If an employee is randomly chosen from the 100 employees represented in the table above, what is the probability that the chosen employee exercises 3 or more days a week (label A)?
b) If an employee is randomly chosen from the 100 employees represented in the table, what is the probability that the chosen employee exercises 3 or more days a week, given that the chosen employee is male ( label B)?
c) Are events A and B independent?
d) Use a chi-square to determine if gender and the number of days a week an employee exercises are independent at the .01 level of significance