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

1.A sample has a mean ofM=25 and a standard deviation ofs=5. For this sample find the X value corresponding to each of the following z-scores:

z= 0.40

z= 1.20

z= 2.00

z= -0.80

z= -1.40

2.Find the z-score corresponding to a score of X = 45 for each of the following distributions:

= 40 and = 20

= 40 and = 10

= 40 and = 5

= 40 and = 2

= 20 and = 5

3.Megan is interested in how many drinks her friends consumed for the Fourth of July. Here are the data she collected:

Number of Drinks: 1, 2, 5, 6, 4, 3, 2, 4, 5, 5

Calculate the mean, median, and mode

Display these data both as a frequency table (without percentage columns) and a histogram below (be sure to include labels on your histogram).

Is this data normally distributed or skewed? How can you tell?