MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Problem Statement:**

A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. 

Find the probability that a randomly selected value is less than 162.7.

**Instructions:**

Shade: Left of a value. Click and drag the arrows to adjust the values.

**Diagram Explanation:**

The diagram shows a standard normal distribution curve. The x-axis is marked with standard deviations from -4 to 4. A portion of the curve to the left of the value -1.5 is shaded in blue, indicating the area for which the probability needs to be calculated.

**Equation:**

\[ P(x < 162.7) = P(z < \_\_\_\_ ) = \_\_\_\_ \]

**Answer Submission:**

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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Transcribed Image Text:**Problem Statement:** A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. Find the probability that a randomly selected value is less than 162.7. **Instructions:** Shade: Left of a value. Click and drag the arrows to adjust the values. **Diagram Explanation:** The diagram shows a standard normal distribution curve. The x-axis is marked with standard deviations from -4 to 4. A portion of the curve to the left of the value -1.5 is shaded in blue, indicating the area for which the probability needs to be calculated. **Equation:** \[ P(x < 162.7) = P(z < \_\_\_\_ ) = \_\_\_\_ \] **Answer Submission:** Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. **Action Button:** Submit Question
Expert Solution
Check Mark
Step 1: Given in question

Mean = 61.9

Standard deviation = 59.3

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