1 B. Use the information in 1 A to determine the area or probability of the following

Question

1 A. For a normal distribution that has a mean of 100 and a standard deviation of 8.  Determine the Z-score for each of the following X values:

X = 108	Z =	1
X = 112	Z =	1.5
X = 98	Z =	-0.25
X = 70	Z =	-3.75
x = 124	Z = 3

1 B. Use the information in 1 A to determine the area or probability of the following:

p(x > 108)
p(x < 98)
p(92 < x < 108)
p(84 < x < 116)
p(x < 84)

 

Answer 1

NORM.DIST(108,100, 8,1) =0.84134475

 so p(x>108) = 1-.8413 =  .1586  - you find the normal distribution using the excel norm.dist then since you need > you take 1 - Norm.dist(x, mean, dev, z)