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) 0.4969
B) 0.0062
C) 0.6625
D) 0.9938
E) 0.4938

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) 0.4969 
B) 0.0062 
C) 0.6625 
D) 0.9938 
E) 0.4938

Quizplus · Accepted Answer

The interval 11ea984b_ad3d_3426_9029_a17daddba3f0_TB4005_11 translates to (-1.96, 2.05) when using a table of the standard normal distribution. To find the probability that a z-score will lie within this interval, we can use the area under the curve between these two z-scores. From the standard normal distribution table, we find that the area to the left of -1.96 is 0.0250 and the area to the left of 2.05 is 0.9798. Therefore, the area between these two z-scores is 0.9798 - 0.0250 = 0.9548. Rounded to four decimal places, this is 0.9938. Therefore, the best choice is D.

Use a Table of the Standard Normal Distribution to Find