Assume that X has a normal distribution, and find the indicated probability.
-The mean is $\mu = 60.0$ .0 and the standard deviation is $\sigma = 4.0$ Find the probability that X is less than 53.0.
A) 0.0401
B) 0.0802
C) 0.9599
D) 0.5589

Question

Quizplus · Accepted Answer

Using normal distribution formula:
$$P(X<53) = \Phi\left(\frac{53-60}{4}\right)$$
$$= \Phi(-1.75)$$
Using a standard normal distribution table, the corresponding probability is approximately 0.0401.

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