Assume that X has a normal distribution, and find the indicated probability.
-The mean is $\mu = 15.2$ and the standard deviation is $\sigma = 0.9$. Find the probability that $\mathrm { X }$ is greater than $16.1$.
A) 0.1357
B) 0.1587
C) 0.1550
D) 0.8413

Question

Quizplus · Accepted Answer

To find the probability that X is greater than 16.1, we first calculate the z-score: $ z = \frac{16.1 - 15.2}{0.9} = 1 $. Using the standard normal distribution table, the probability of Z being less than 1 is 0.8413. Therefore, the probability of X being greater than 16.1 is $1 - 0.8413 = 0.1587$.

Assume That X Has a Normal Distribution, and Find the Indicated