Answer to Question #44755 in Statistics and Probability for Omoruyi

Question

In a clothing factory employing female and male employees, it was observed the the average number of absences for male workers over a year is 15 with a standard deviation of 7; for female workers, the average number of absences is 10 with a standard deviation of 6. In an industry –wide survey 100 male employees and 50 female employees were sampled. What is the probability that the male sample will have at most three days more days absences than the female sample?