Z is a standard normal random variable.The P(-1.96 Z -1.4) equals
A)0.8942
B)0.0558
C)0.475
D)0.4192

Question

Z is a standard normal random variable.The P(-1.96 Z -1.4) equals
A)0.8942 
B)0.0558 
C)0.475 
D)0.4192

Quizplus · Accepted Answer

Using a standard normal table or calculator, we can find that the area to the left of -1.96 is 0.025, and the area to the left of -1 is 0.1587. Therefore, the area between -1.96 and -1 is 0.025 - 0.1587 = -0.1337. However, since we are interested in the area to the right of -1, we need to subtract this value from 1: 1 - (-0.1337) = 1.1337. Finally, we can look up this value in the standard normal table or use a calculator to find that it corresponds to an area of 0.0558.

Z Is a Standard Normal Random Variable