Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the areacorresponding to the probability shaded.P(35 **Understanding Normal Distribution and Probability**Assume the random variable \( X \) is normally distributed with mean \( \mu = 50 \) and standard deviation \( \sigma = 7 \). Compute the probability of the range \( P(35 < X < 63) \). Be sure to draw a normal curve with the area corresponding to the probability shaded.### Problem Statement\[ P(35 < X < 63) \]To find the probability, click the icon to view a table of areas under the normal curve.### QuestionWhich of the following normal curves corresponds to \( P(35 < X < 63) \)?- **Option A:** A normal curve with no shading between 35 and 63.- **Option B:** A normal curve with shaded area between 35 and 50 (incorrect representation).- **Option C:** A normal curve with shaded area between 35 and 63.**Explanation of Graphs:**- **Graph A** represents a normal distribution curve without any areas shaded, which does not correspond to the desired probability range.- **Graph B** shows shading only between 35 and 50, indicating an incomplete probability representation.- **Graph C** accurately depicts the normal curve with a shaded area between 35 and 63, correctly illustrating \( P(35 < X < 63) \).### Calculation\[ P(35 < X < 63) = \boxed{} \](Round to four decimal places as needed.)### Additional InstructionsAfter making your selection, click "Next" to proceed in your learning module.

given data, normal distribution, μ=50σ=7p(35<X<63)=?

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35

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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Question

Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35

**Understanding Normal Distribution and Probability**

Assume the random variable \( X \) is normally distributed with mean \( \mu = 50 \) and standard deviation \( \sigma = 7 \). Compute the probability of the range \( P(35 < X < 63) \). Be sure to draw a normal curve with the area corresponding to the probability shaded.

### Problem Statement
\[ P(35 < X < 63) \]

To find the probability, click the icon to view a table of areas under the normal curve.

### Question
Which of the following normal curves corresponds to \( P(35 < X < 63) \)?

- **Option A:** A normal curve with no shading between 35 and 63.
- **Option B:** A normal curve with shaded area between 35 and 50 (incorrect representation).
- **Option C:** A normal curve with shaded area between 35 and 63.

**Explanation of Graphs:**
- **Graph A** represents a normal distribution curve without any areas shaded, which does not correspond to the desired probability range.
- **Graph B** shows shading only between 35 and 50, indicating an incomplete probability representation.
- **Graph C** accurately depicts the normal curve with a shaded area between 35 and 63, correctly illustrating \( P(35 < X < 63) \).

### Calculation
\[ P(35 < X < 63) = \boxed{} \]
(Round to four decimal places as needed.)

### Additional Instructions
After making your selection, click "Next" to proceed in your learning module.

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