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 - 3.66. sketch the region. choose the correct graph below. o a. 3.66 o b. -3.66 o c. -3.66 o d. 3.66

Explanation:

Step1: Analyze the z - score

The problem is about finding the probability \(P(Z > - 3.66)\) for a standard - normal distribution \(Z\sim N(0,1)\). In a standard - normal distribution graph, the \(x\) - axis represents the \(z\) - scores.

Step2: Determine the region

Since we want \(P(Z > - 3.66)\), the region is to the right of \(z=-3.66\). In the given options, option C has the shaded region to the right of \(z =-3.66\).

Answer:

C.