Find z such that 9.1% of the standard normal curve lies to the right of z. (Round your answer to two decimal places.) Z= Sketch the area described. ^^ Z 0 0 Z

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Find \( z \) such that 9.1% of the standard normal curve lies to the right of \( z \). (Round your answer to two decimal places.)**

\( z = \underline{\hspace{0.5cm}} \)

**Sketch the area described.**

**Graph Descriptions:**

1. **Top Left Graph:**
   - A standard normal distribution curve is shown.
   - The area to the right of \( z \) is shaded, representing 9.1% of the distribution.
   - The point \( z \) is to the right of 0 along the horizontal axis.

2. **Top Right Graph:**
   - The normal curve is shown with the area to the left of \( z \) shaded, not representing the desired 9.1%.
   - The point \( z \) is to the left of 0.

3. **Bottom Left Graph:**
   - The curve shows shading to the right of \( z \), but the point \( z \) is marked on the left side of 0.
   - This represents a portion more significant than 9.1% to the right.

4. **Bottom Right Graph:**
   - The correct area is shaded if representing 9.1% to the right of \( z \).
   - The point \( z \) lies on the right side of the 0, with the area to the right shaded.

Students are required to identify which graph correctly represents 9.1% of the normal distribution lying to the right of \( z \).
Transcribed Image Text:**Find \( z \) such that 9.1% of the standard normal curve lies to the right of \( z \). (Round your answer to two decimal places.)** \( z = \underline{\hspace{0.5cm}} \) **Sketch the area described.** **Graph Descriptions:** 1. **Top Left Graph:** - A standard normal distribution curve is shown. - The area to the right of \( z \) is shaded, representing 9.1% of the distribution. - The point \( z \) is to the right of 0 along the horizontal axis. 2. **Top Right Graph:** - The normal curve is shown with the area to the left of \( z \) shaded, not representing the desired 9.1%. - The point \( z \) is to the left of 0. 3. **Bottom Left Graph:** - The curve shows shading to the right of \( z \), but the point \( z \) is marked on the left side of 0. - This represents a portion more significant than 9.1% to the right. 4. **Bottom Right Graph:** - The correct area is shaded if representing 9.1% to the right of \( z \). - The point \( z \) lies on the right side of the 0, with the area to the right shaded. Students are required to identify which graph correctly represents 9.1% of the normal distribution lying to the right of \( z \).
Expert Solution
Step 1: We have given that

Z~N(μ=0,σ=1)

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