SOLUTION: For a normal distribution with a mean of µ = 100 and a standard deviation of ó = 10, find each of the following probabilities: a. p(X > 102) c. p(X < 130) b. p(X < 85) d.

Algebra ->  Probability-and-statistics -> SOLUTION: For a normal distribution with a mean of µ = 100 and a standard deviation of ó = 10, find each of the following probabilities: a. p(X > 102) c. p(X < 130) b. p(X < 85) d.       Log On


   



Question 1158486: For a normal distribution with a mean of µ = 100 and a standard deviation of ó = 10, find each of the following probabilities:
a. p(X > 102) c. p(X < 130)
b. p(X < 85) d. p(95 < X < 105)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
so X>102 is z=(102-100)/10 with a z value > 0.2 or probability of 0.4207
x<85 is z value <-1.5 or probability of 0.0668
x< 130 is z<3 or probability 0.9987
d is z value between -.5 and +.5 or probability of 0.3829