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.

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
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Solution

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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.

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