Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the right of z is 0.03. 1.88 b. The area to the right of z is 0.025. 1.96 c. The area to the right of z is 0.05. 1.64 d. The area to the right of z is 0.10. .46

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Given that z is a standard normal random variable, find z for this situation (to 2 decimals). The area to the right of z is 0.10.

 

**Finding Z-Score for a Standard Normal Random Variable**

Given that \( z \) is a standard normal random variable, find \( z \) for each situation (to 2 decimals).

a. The area to the right of \( z \) is **0.03**.

- Calculated \( z \): **1.88** ✅

b. The area to the right of \( z \) is **0.025**.

- Calculated \( z \): **1.96** ✅

c. The area to the right of \( z \) is **0.05**.

- Calculated \( z \): **1.64** ✅

d. The area to the right of \( z \) is **0.10**.

- Calculated \( z \): **0.46** ❌

In this exercise, part d is marked incorrect, indicating a miscalculation in finding the \( z \)-score for the given area.
Transcribed Image Text:**Finding Z-Score for a Standard Normal Random Variable** Given that \( z \) is a standard normal random variable, find \( z \) for each situation (to 2 decimals). a. The area to the right of \( z \) is **0.03**. - Calculated \( z \): **1.88** ✅ b. The area to the right of \( z \) is **0.025**. - Calculated \( z \): **1.96** ✅ c. The area to the right of \( z \) is **0.05**. - Calculated \( z \): **1.64** ✅ d. The area to the right of \( z \) is **0.10**. - Calculated \( z \): **0.46** ❌ In this exercise, part d is marked incorrect, indicating a miscalculation in finding the \( z \)-score for the given area.
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