Let the random variable Z follow a standard normal distribution,and let z₁ be a possible value of Z that is unknown but identifiable by position and area.Find z₁ if the area to the right of z₁ is 0.8413. A)1.00 B)-1.00 C)0.00 D)0.41

Question

Quizplus · Accepted Answer

The area to the right of the z-score in a standard normal distribution represents the probability that a value is greater than that z-score. If the area to the right is 0.8413, it means the area to the left (or the cumulative probability up to that z-score) is 1 - 0.8413 = 0.1587. Looking up this value in a standard normal distribution table or using a calculator to find the z-score that corresponds to a cumulative probability of 0.1587 gives us a z-score of approximately -1.00.

Let the Random Variable Z Follow a Standard Normal Distribution,and