Question

Determine the area under the standard normal curve that lies to the right of ​(a) Upper Z equals negative 1.84 commaZ=−1.84, ​(b) Upper Z equals 1.58 commaZ=1.58, ​(c) Upper Z equals 1.14 commaZ=1.14, and ​(d) Upper Z equals 0.46 .Z=0.46.

Answer 1

Solution:-

a) P(Z > −1.84) = P(Z < 1.84) = 0.9671

Use the standard normal table to find area below 1.84 :

b) P(Z > 1.58) = 1 − P(Z < 1.58) = 1 − 0.9429 = 0.0571
  
Use the standard normal table to find the area below 1.58 :

3) P(Z > 1.14) = 1 − P(Z < 1.14) = 1 − 0.8729 = 0.1271

Use the standard normal table to find the area below 1.14 :

4) P(Z > 0.46) = 1 − P(Z < 0.46) = 1 − 0.6772 = 0.3228

Use the standard normal table to find the area below 0.46 :