13. A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8. What is the probability of getting a score higher that 71 on this exam?

Answer 1

73-71 = 2
2/8 = .24 sigma below mean
go to normal distribution table
.5948 of distribution is below .24 sigma above mean

Answer 2

Z =Variable - Mean/ Standard deviation
Z =71-73/8
Z =-2/8
Z = -0.25
Z value -.25 = .401294
To find higher than 71
1 - .401294 = 0.5987

59.87 % will get a score higher than 71 on this exam.