SOLUTION: For a standard normal random variable Z, find the value of z0 such that (a) P(Z > z0) = 0.05 (b) P(Z < z0) = 0.88 (c) P(Z < z0) = 0.10 (d) P(Z > z0) = 0.95. Thank you... :)

Algebra ->  Probability-and-statistics -> SOLUTION: For a standard normal random variable Z, find the value of z0 such that (a) P(Z > z0) = 0.05 (b) P(Z < z0) = 0.88 (c) P(Z < z0) = 0.10 (d) P(Z > z0) = 0.95. Thank you... :)       Log On


   

Question 1177763: For a standard normal random variable Z, find the value of z0 such that
(a) P(Z > z0) = 0.05
(b) P(Z < z0) = 0.88
(c) P(Z < z0) = 0.10
(d) P(Z > z0) = 0.95.
Thank you... :)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
 standard normal Distribution:    μ = 0   σ  = 1


 P(z > z0 = .05   invNorm(.05) =  1.645 = z0  small area to right 
(b) P(Z < z0) = 0.88  invNorm(.88) = 1.175= z0  large area to the left
(c) P(Z < z0) = 0.10  invNorm(.10) = -1.282= z0 small area to the left
(d) P(Z > z0) = 0.95.   invNorm(.95) = -1.645= z0 large area to right
Wish You the Best in your Studies.