SOLUTION: Find the area under a normal curve with mean μ=100 and standard deviation ó=15. 1.Between 70 And 115 2.100 below 3. 85 below 4.Between 85 and 145 5.between 115 and 130 6.x<

Algebra ->  Finance -> SOLUTION: Find the area under a normal curve with mean μ=100 and standard deviation ó=15. 1.Between 70 And 115 2.100 below 3. 85 below 4.Between 85 and 145 5.between 115 and 130 6.x<      Log On


   

Question 1178713: Find the area under a normal curve with mean μ=100 and standard deviation ó=15.
1.Between 70 And 115
2.100 below
3. 85 below
4.Between 85 and 145
5.between 115 and 130
6.x<130
7.x<85
8.x>130
9.x>70
10.55
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Between 70 and 115 is between z=-2 and z=+1 where z=(x-mean)/sd. Probability is 0.8186
below 100 is provability 1/2
below 85 is probability 0.1587; that is the same as x < 85
between 85 and 145 is between z of -1 and +3 with probability of 0.8400.
between 115 and 130 is between 1 and 2 sd or prob.=0.1359
x <130 is below 2 sd with prob. 0.9772
x > 130 is the complement of the previous or 0.0228
x >70 is probability 0.9772, the mirror of x < 130.
probability x=55 or any other number is 0, since those are dimensionless points.
Use VARS2normal cdf, never normal pdf, with arguments the z values of interest separated by a comma.