Let the random variable Z follow a standard normal distribution.Find the value k,such that P(Z k)= 0.73.
A)0.27
B)0.73
C)-0.16
D)-0.61

Question

Let the random variable Z follow a standard normal distribution.Find the value k,such that P(Z > k)= 0.73.
A)0.27
B)0.73
C)-0.16
D)-0.61

Quizplus · Accepted Answer

The probability P(Z > k) = 0.73 implies that the area to the right of k under the standard normal curve is 0.73. This means the area to the left of k is 1 - 0.73 = 0.27. Looking up 0.27 in the standard normal distribution table or using a calculator, we find that the z-score corresponding to a cumulative area of 0.27 is approximately -0.61.

Let the Random Variable Z Follow a Standard Normal Distribution