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A normal distribution has a mean of 35 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval + 19 19 23 27 31 de % 35 de X 23 27 31 35 X 39 39 Question Help: Message instructor 43 43 47 47 51 a 51 Q

A normal distribution has a mean of 35 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval + 19 19 23 27 31 de % 35 de X 23 27 31 35 X 39 39 Question Help: Message instructor 43 43 47 47 51 a 51 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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### Probability and Normal Distribution A normal distribution has a mean of 35 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. #### Graph 1: The graph displays a normal distribution curve with a shaded area representing the probability of x-values between 31 and 39. The x-axis is labeled with values ranging from 19 to 51, marked at intervals of 4: 19, 23, 27, 31, 35, 39, 43, 47, 51. The peak of the curve is at the mean value of 35. - **X-Axis Range**: 19 to 51 - **Shaded Interval**: Between 31 and 39 #### Probability Calculation: Enter the calculated probability percentage for the shaded area in the box provided below the graph. #### Graph 2: This graph similarly shows a normal distribution. The shaded area is more focused, likely indicating a different probability interval, but uses the same x-axis scale and mean. - **X-Axis Range**: 19 to 51 - **Shaded Interval**: Needs further specification from the user Enter the calculated probability percentage in the box provided below this graph. ### Assistance: For additional help, users can click on "Message instructor." ### Submitting Results: Once the probabilities are calculated, click on "Submit Question" to save your answers.
Transcribed Image Text:### Probability and Normal Distribution A normal distribution has a mean of 35 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. #### Graph 1: The graph displays a normal distribution curve with a shaded area representing the probability of x-values between 31 and 39. The x-axis is labeled with values ranging from 19 to 51, marked at intervals of 4: 19, 23, 27, 31, 35, 39, 43, 47, 51. The peak of the curve is at the mean value of 35. - **X-Axis Range**: 19 to 51 - **Shaded Interval**: Between 31 and 39 #### Probability Calculation: Enter the calculated probability percentage for the shaded area in the box provided below the graph. #### Graph 2: This graph similarly shows a normal distribution. The shaded area is more focused, likely indicating a different probability interval, but uses the same x-axis scale and mean. - **X-Axis Range**: 19 to 51 - **Shaded Interval**: Needs further specification from the user Enter the calculated probability percentage in the box provided below this graph. ### Assistance: For additional help, users can click on "Message instructor." ### Submitting Results: Once the probabilities are calculated, click on "Submit Question" to save your answers.
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Step 1: Given infomation

N o r m a l space d i s t r i b u t i o n P o p u l a t i o n space m e a n space colon space mu space equals space 35 P o p u l a t i o n space s tan d a r d space d e v i a t i o n space colon space sigma space equals space 4 left parenthesis a right parenthesis space P left parenthesis 31 less than x less than 39 right parenthesis space equals space ? space left parenthesis b right parenthesis space P left parenthesis 27 less than x less than 35 right parenthesis space equals space ? space

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