If z is a standard normal variable, find the probability. P(-0.77

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**Problem: Standard Normal Probability**

If \( z \) is a standard normal variable, find the probability.

\[ P(-0.77 < z < 2.29) \]

**Options:**

- \( 0.8386 \) 
- \( 0.7904 \) 
- \( 0.7683 \) 
- \( 0.8243 \) 

---

**Explanation:**

This problem requires you to find the probability that a standard normal variable \( z \) falls between -0.77 and 2.29. The options provided are potential numerical solutions for this probability.

To solve this problem, you would use the Z-table (standard normal distribution table) to find the area under the curve between the two z-scores (-0.77 and 2.29). This area represents the probability.
Transcribed Image Text:**Problem: Standard Normal Probability** If \( z \) is a standard normal variable, find the probability. \[ P(-0.77 < z < 2.29) \] **Options:** - \( 0.8386 \) - \( 0.7904 \) - \( 0.7683 \) - \( 0.8243 \) --- **Explanation:** This problem requires you to find the probability that a standard normal variable \( z \) falls between -0.77 and 2.29. The options provided are potential numerical solutions for this probability. To solve this problem, you would use the Z-table (standard normal distribution table) to find the area under the curve between the two z-scores (-0.77 and 2.29). This area represents the probability.
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