Please help with the following question:

2. Graduate students applying for entrance to many universities must take a Miller Analo- gies Test. It is known that the test scores have a mean of 75 and a variance of 16. In 1990, 100 students applied for entrance into graduate school. (a) [3 marks] Find the mean and standard deviation of the sampling distribution of X. (b) [3 marks] Find the probability that the average score of this group of students is higher than 76. (c) [3 marks] Find the probability that the sample mean deviates from the population mean by less than 1