I was struggling with my math homework, please help. Thank you

(1.5 points) Consider that BE1500 professors is interested to see if there is a significant difference in terms of exam 2 performance between male and female students. We can assume that grades are normally distributed as X~N(26, 25) for females and Y~N(24, 36) for males. Assuming that there is 10 female and 10 male students, what is the probability that the mean score of the 10 female students is lower than the mean grade of the 10 male students? (1.5 points) Let X denote the crop yield of corn measured in the number of bushels per acre. Assume (unrealistically) that X is normally distributed with unknown mean p and standard deviation o = 6. An agricultural researcher is working to increase the current average yield from 40 bushels per acre. Therefore, he is interested in testing, at the a = 0.05 level, the null hypothesis Ho: / = 40 against the alternative hypothesis that HA: / > 40. Find the sample size n that is necessary to achieve 0.90 power at the alternative