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