According  to  a  survey  on  part-time  workers  (their  monthly  salaries  can  vary  by  different months), the average  base salary for women is higher than the average  base  salary for men. The average base salary for women is $3000/month, andthe average base salary for men is $2750/month. Assume monthly salaries are normally distributed with a standard deviation of $300 for both men and women. Furthermore, assume salaries are independent across different months. How much would a woman have  tomake  in a year to have  a higher salary than 99% of her male counterparts?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q2.  According  to  a  survey  on  part-time  workers  (their  monthly  salaries  can  vary  by  different months), the average  base salary for women is higher than the average  base  salary for men. The average base salary for women is $3000/month, andthe average base salary for men is $2750/month. Assume monthly salaries are normally distributed with a standard deviation of $300 for both men and women. Furthermore, assume salaries are independent across different months.
How much would a woman have  tomake  in a year to have  a higher salary than 99% of her male counterparts?

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