Question

assume that a randomly selected subject is given a bone density test. those test scores are normally distributed with a mean of 0 and a standard deviation of 1. find the probability that a given score is less than - 1.11 and draw a sketch of the region. sketch the region. choose the correct graph below. the probability is (round to four decimal places as needed.)

Explanation:

Step1: Use z - table

We have a standard normal distribution ($\mu = 0$, $\sigma=1$) and we want to find $P(Z < - 1.11)$. We look up the value of - 1.11 in the standard - normal (z -) table.

Step2: Read the value

Looking up - 1.11 in the z - table, the value corresponding to it is 0.1335.

Answer:

0.1335
The correct graph is the one that has the area to the left of - 1.11 shaded, which is option B.