I need you to reveiw two problems, I did work on both of them.... Please assist me with both problems and show all work.

Problem 1) A data set has a mean of 82 and a standard deviation of 6.7. Find the data value that is 2.3 standard deviationsbelowthe mean.

a) 68.6

b) 95.4

c) 66.59

d) 97.41

My work problem 1)

6.7 x 2.3 = 15.41

82 - 15.41 = 66.59

answer : C

Problem 2) Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected? Answer as a percent rounded to 2 decimal places.

A) 1.62%

B) 1.94%

C)0.0196%

D) 2.48%

My work problem 2)

Z score of .15 = 2.1

Z score of - .19 = - 2.1

After this part I get stuck....