Question

Find the area of the shaded region under the standard normal curve. If​ convenient, use technology to find the area.

z
-2.48
0

Answer 1

0.4934

Step-by-step explanation:

To obtain the area of the shaded region under then curve :

P(-2.48 < Z < 0) = P(Z < 0) - P(Z < - 2.48)

To obtain P( Z < x) = (x - μ) / s

Therefore :

P(Z < 0) - P(Z < - 2.48)

Using a Z probability calculator :

P(Z < 0) = 0.5

P(Z < - 2.48) = 0.0065691

Hence,

P(Z < 0) - P(Z < - 2.48) = 0.5 - 0.0065691

Therefore the shaded area under the normal probability curve is = 0.5 - 0.0065691 = 0.4934309

P(Z < 0) - P(Z < - 2.48) = 0.4934