Assume that X has a normal distribution, and find the indicated probability.
-The mean is $\mu = 60.0$ and the standard deviation is $\sigma = 4.0$.
Find the probability that $X$ is less than $53.0$.
A) 0.0401
B) 0.9599
C) 0.5589
D) 0.0802

Question

Assume that X has a normal distribution, and find the indicated probability.
-The mean is $\mu = 60.0$ and the standard deviation is $\sigma = 4.0$. 
Find the probability that $X$ is less than $53.0$.
A) 0.0401
B) 0.9599
C) 0.5589
D) 0.0802

Quizplus · Accepted Answer

To find the probability that $X < 53.0$, we first calculate the z-score: $z = \frac{53 - 60}{4} = -1.75$. Using the standard normal distribution table, the probability corresponding to $z = -1.75$ is approximately 0.0401.

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