Given that z is a standard normal random variable, find z for each situation (to 2 decimals). The area to the left of z is 0.6591. The area to the right of z is 0.3409.

MATLAB: An Introduction with Applications
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Given that z is a standard normal random variable, find z for each situation (to 2 decimals). The area to the left of z is 0.6591. The area to the right of z is 0.3409.

 

**Standard Normal Distribution Z-Score Calculations**

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

**a.** The area to the left of \( z \) is **0.9732**.
   - **Correct Answer:** 1.93 ✔

**b.** The area between 0 and \( z \) is **0.4732** (\( z \) is positive).
  - **Correct Answer:** 1.93 ✔

**c.** The area to the left of \( z \) is **0.8554**.
   - **Correct Answer:** 1.06 ✔

**d.** The area to the right of \( z \) is **0.1151**.
   - **Correct Answer:** 1.2 ✔

**e.** The area to the left of \( z \) is **0.6591**.
   - **Incorrect Attempt:** 1.51 ✖

**f.** The area to the right of \( z \) is **0.3409**.
   - **Incorrect Attempt:** 0.38 ✖
Transcribed Image Text:**Standard Normal Distribution Z-Score Calculations** Given that \( z \) is a standard normal random variable, find \( z \) for each situation (to 2 decimals). **a.** The area to the left of \( z \) is **0.9732**. - **Correct Answer:** 1.93 ✔ **b.** The area between 0 and \( z \) is **0.4732** (\( z \) is positive). - **Correct Answer:** 1.93 ✔ **c.** The area to the left of \( z \) is **0.8554**. - **Correct Answer:** 1.06 ✔ **d.** The area to the right of \( z \) is **0.1151**. - **Correct Answer:** 1.2 ✔ **e.** The area to the left of \( z \) is **0.6591**. - **Incorrect Attempt:** 1.51 ✖ **f.** The area to the right of \( z \) is **0.3409**. - **Incorrect Attempt:** 0.38 ✖
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