Given that Z is a standard normal random variable,what is the probability that -2.51 Z-1.53?
A)0.4950
B)0.4370
C)0.0570
D)0.9310

Question

Given that Z is a standard normal random variable,what is the probability that -2.51  Z-1.53?
A)0.4950 
B)0.4370 
C)0.0570 
D)0.9310

Quizplus · Accepted Answer

We need to find the area under the standard normal distribution curve to the left of -1.53. Using a standard normal table, we can find that the area to the left of -1.53 is 0.0630. However, we want the area to the right of -1.53, so we need to subtract this value from 1 to get 1 - 0.0630 = 0.9370. Therefore, the probability of Z being greater than -1.53 is 0.9370, and the probability of Z being less than or equal to -1.53 is 1 - 0.9370 = 0.0630.

Given That Z Is a Standard Normal Random Variable,what Is