Questions: Consider the value of t such that 0.005 of the area under the curve is to the right of t.
Step 1 of 2: Select the graph which best represents the given description of t.
Transcript text: Consider the value of $t$ such that 0.005 of the area under the curve is to the right of $t$.
Step 1 of 2: Select the graph which best represents the given description of $t$.
Answer
Solution
Solution Steps
Step 1: Understanding the Problem
The problem asks us to find the value of \( t \) such that 0.005 of the area under the curve is to the right of \( t \). This is a typical problem involving the tail of a normal distribution.
Step 2: Identifying the Correct Graph
To solve this, we need to identify the graph where the area to the right of \( t \) is 0.005. This corresponds to a very small tail area, which is typically found in the extreme right of the distribution.
Step 3: Analyzing the Graphs
The first graph shows \( t \) on the right side of the distribution.
The second graph shows \( t \) on the left side of the distribution.
The third graph shows \(-t\) on the left side of the distribution.
The fourth graph shows \(-t\) on the right side of the distribution.
Since we are looking for the area to the right of \( t \), the correct graph should have \( t \) on the right side of the distribution.
Final Answer
The correct graph is the first one, where \( t \) is on the right side of the distribution.