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. draw a graph and find the probability of a bone density test score greater than - 1.52. 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

The probability \(P(Z > - 1.52)\) can be found using the property \(P(Z>z)=1 - P(Z\leq z)\).

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

From the standard - normal table (z - table), \(P(Z\leq - 1.52)=0.0643\).

Step3: Calculate the required probability

\(P(Z > - 1.52)=1 - 0.0643 = 0.9357\)

Answer:

\(0.9357\)