Statistics and Probability Problem

Problem 1

For boys, the average number of absences in the first grade is 15 with a standard deviation of 7; for girls, the average number of absences is 10 with a standard deviation of 6.

In a nationwide survey, suppose 100 boys and 50 girls are sampled. What is the probability that the male sample will have at most three more days of absences than the female sample?

(A) 0.025 
(B) 0.035 
(C) 0.045 
(D) 0.055 
(E) None of the above

ANSWER THE QUESTION SHOWING WORK, AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER. THIS IS NOT JUST CHOOSE A LETTER, YOU NEED A LENGTH EXPLANATION ON WHY!!!!!