In a certain normal distribution, find the standard deviation ? when $\mu$ = 50 and 10.56% of the area lies to the right of 55.
A)4
B)2
C)3
D)5

Question

Quizplus · Accepted Answer

The z-score corresponding to 10.56% in the right tail is approximately 1.25. Using the formula $ z = \frac{X - \mu}{\sigma} $, where $ X = 55 $, $ \mu = 50 $, and $ z = 1.25 $, we solve for $ \sigma $ to get $ \sigma = \frac{55 - 50}{1.25} = 4 $.

In a Certain Normal Distribution, Find the Standard Deviation μ\muμ = 50 and 10

In a Certain Normal Distribution, Find the Standard Deviation $\mu$ = 50 and 10