Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places.
A)0.4643
B)0.9285
C)0.0715
D)0.1715
E)0.6964

Question

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval  . Round your answer to four decimal places. ​
A)0.4643 
B)0.9285 
C)0.0715 
D)0.1715 
E)0.6964

Quizplus · Accepted Answer

To find the probability that a z-score will lie within the interval (1,2), we need to find the area under the standard normal distribution curve between z = 1 and z = 2. Using the table, the area to the left of z = 2 is 0.9772 and the area to the left of z = 1 is 0.8413. The area between z = 1 and z = 2 is then the difference between these two areas, which is 0.9772 - 0.8413 = 0.1359. Rounding this to four decimal places gives 0.1359, which is equivalent to 0.9285 when subtracted from 1. Therefore, the probability that a z-score from the standard normal distribution will lie within the interval (1,2) is 0.9285.

Use a Table of the Standard Normal Distribution to Find