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Assume that the random variable X is normally distributed, with mean μ = 49 and standard deviation o=8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the proba shaded. P(X ≤42) Which of the following shaded regions corresponds to P(X≤42)? OA. 42 49 O OB. 42 49 h CIL Q O C. 42 49 Q

Assume that the random variable X is normally distributed, with mean μ = 49 and standard deviation o=8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the proba shaded. P(X ≤42) Which of the following shaded regions corresponds to P(X≤42)? OA. 42 49 O OB. 42 49 h CIL Q O C. 42 49 Q

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Transcription: Educational Website Format** --- **Problem Description:** Assume that the random variable \( X \) is normally distributed, with a mean \( \mu = 49 \) and standard deviation \( \sigma = 8 \). Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. **Task:** Compute \( P(X < 42) \). **Question:** Which of the following shaded regions corresponds to \( P(X < 42) \)? **Options:** - **Option A:** - Diagram: A normal distribution curve is displayed. The area to the left of \( X = 42 \), shaded in blue, represents the probability. The mean \( \mu = 49 \) is marked on the curve. - **Option B:** - Diagram: A normal distribution curve is shown with the area between \( X = 42 \) and \( X = 49 \) shaded in blue. This area does not represent \( P(X < 42) \). - **Option C:** - Diagram: A normal distribution curve with an area incorrectly shaded, extending beyond \( X = 42 \). This does not correctly represent \( P(X < 42) \). **Correct Answer:** - **Option A** is correct as it shows the area to the left of \( X = 42 \) shaded, which accurately represents \( P(X < 42) \). ---
Transcribed Image Text:**Transcription: Educational Website Format** --- **Problem Description:** Assume that the random variable \( X \) is normally distributed, with a mean \( \mu = 49 \) and standard deviation \( \sigma = 8 \). Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. **Task:** Compute \( P(X < 42) \). **Question:** Which of the following shaded regions corresponds to \( P(X < 42) \)? **Options:** - **Option A:** - Diagram: A normal distribution curve is displayed. The area to the left of \( X = 42 \), shaded in blue, represents the probability. The mean \( \mu = 49 \) is marked on the curve. - **Option B:** - Diagram: A normal distribution curve is shown with the area between \( X = 42 \) and \( X = 49 \) shaded in blue. This area does not represent \( P(X < 42) \). - **Option C:** - Diagram: A normal distribution curve with an area incorrectly shaded, extending beyond \( X = 42 \). This does not correctly represent \( P(X < 42) \). **Correct Answer:** - **Option A** is correct as it shows the area to the left of \( X = 42 \) shaded, which accurately represents \( P(X < 42) \). ---
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