1. Using software, find the value of z that makes the following probabilities true. You might find it helpful to draw a picture to check your answers.
(a) P1Z 6 z2 = 0.20
(b) P1Z ... z2 = 0.50
(c) P1- z ... Z ... z2 = 0.50
(d) P1 I Z I 7 z2 = 0.01
(e) P1 I Z I 6 z2 = 0.90
2. Using software, find the value of z that makes the following probabilities hold. Again, you might find it helpful to draw a picture to check your answers.
(a) P1Z 6 z2 = 0.35
(b) P1Z Ú z2 = 0.60
(c) P1- z ... Z ... z2 = 0.40
(d) P1 I Z I 7 z2 = 0.005
(e) P1 I Z I 6 z2 = 0.99