Statistics questions. Determining probabilities and z scores. Please help with all questions and sub parts.

. 14. Researchers take a sample of 100 adult menfrom northwest Indiana and measure theircholesterol. They want to know how this samplecompares with the national average cholesterolscore for adult men: [.1 = 208, o = 15, N = 100, M =205. What is the probability of obtaining a samplemean of 205 or lower? Is this sample mean that isbased on 100 adult men likely or unlikely to havecome from a target population with ,u = 208, o =15?