I have been struggling with a stats problem for a few hours....can anyone help me out...... I don't just want an answer, I want to know how to do the work.

Thanks

Jim’s score on the Stats Exam was .4 SD above the mean. What are the 2 possible z-scores Joe would need to obtain for the area under the curve between Jim and Joe to be 27%? Assume the Stats Exam is normally distributed. Show work.

say mean is MU, standard deviation is SD, write out Jim's score first, the question will be what the score of Joe needed to let the probability of let score between Jim 's and Joe's score to be 27%. And random variable score ~N(MU,SD^2). then z-score will be the standardized version of Joe's score.