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 can use a standard normal table or calculator to find the probabilities associated with each of the values. Using a table (or calculator), we find that the probability of z being less than -2.51 is 0.0059 and the probability of z being less than -1.53 is 0.0630. The difference between these probabilities gives us the probability that z is between -2.51 and -1.53, which is 0.0570. Thus, the answer is choice C.

Given That Z Is a Standard Normal Random Variable, What