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 1.77 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 the standard normal distribution property

We know that for a standard normal distribution \(Z\sim N(0,1)\), we want to find \(P(Z < 1.77)\).

Step2: Look up the value in the standard - normal table

In the standard - normal table (z - table), we look for the row corresponding to \(z = 1.7\) and the column corresponding to \(0.07\). The value in the table for \(z=1.77\) is \(0.9616\).

Answer:

\(0.9616\)