Question

Determine the area under the standard normal curve that lies to the right of ​(a) Z = 1.52, (b) Z = 0.34, ​(c) Z= -0.71, and ​(d) Z = -1.87 .

Answer 1

Solution :

Using standard normal table ,

(a)

P(z > 1.52) = 1 - P(z < 1.52) = 1 - 0.9357 = 0.0643

The area under the standard normal curve that lies to the right of z = 1.52 is 0.0643

(b)

P(z > 0.34) = 1 - P(z < 0.34) = 1 - 0.6331 = 0.3669

The area under the standard normal curve that lies to the right of z = 0.34 is 0.3669

(c)

P(z > -0.71) = 1 - P(z < -0.71) = 1 - 0.2389 = 0.7611

The area under the standard normal curve that lies to the right of z = -0.71 is 0.7611

(d)

P(z > -1.87) = 1 - P(z < -1.87) = 1 - 0.0307 = 0.9693

The area under the standard normal curve that lies to the right of z = -1.87 is 0.9693