Please answer the following questions and show all work on how you got the answer. Thank you!!!

1.Last week Sarah had exams in Math, Spanish, and English. On the math exam, the mean was = 45 and = 10 and Sarah had a score of 50. On the Spanish exam, the mean was = 55 and = 4 and Sarah had a score of X = 57. On the English exam, the mean was = 80 and = 18 and Sarah had a score of X=89. For which class should Sara expect the better grade?

2.Fora distribution of scores, X = 56 corresponds to a z-score of z = +1.00, and X = 47 corresponds to a z-score of z = -0.50.

What is the standard deviation for the distribution?

What is the mean for the distribution?

3.Calculate the variance and standard deviation for the sample below:

X values:0, 4,2,1,3