SOLUTION: Find the following probabilities: a)P (0 ≤ Z ≤ .5) b)P (Z ≤ .5) c)P (Z ≤ -.5) d)P (Z >.5) e)P (-.5 ≤ Z ≤ .5)

Algebra ->  Probability-and-statistics -> SOLUTION: Find the following probabilities: a)P (0 ≤ Z ≤ .5) b)P (Z ≤ .5) c)P (Z ≤ -.5) d)P (Z >.5) e)P (-.5 ≤ Z ≤ .5)      Log On


   

Question 842076: Find the following probabilities:
a)P (0 ≤ Z ≤ .5)
b)P (Z ≤ .5)
c)P (Z ≤ -.5)
d)P (Z >.5)
e)P (-.5 ≤ Z ≤ .5)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Green Lines denote z = -.5  and z = .5 on the Standard Normal Curve



P(z ≤ .5) = .6915    

a)P (0 ≤ Z ≤ .5) = .6915 - .5 = .1915

 b)P (Z ≤ .5) = .6915

 c)P (Z ≤ -.5) = .5-.1915

 d)P (Z >.5) = 1- .6915

 e)P (-.5 ≤ Z ≤ .5) = 2(.1915)