In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 3.7 inches. Let X be the height of a randomly chosen child in Ventura County. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X ~NV 55.1 3.7 ▼ Part 2 of 3 Round the following answers to three decimal places. If a Ventura County child is randomly chosen, find the probability that the height is more than 45.8 inches. 0.994 If a Ventura County child is randomly chosen, find the probability that the height is between 53.2 and 55.1 inches. 0.196 Round the following answer to the nearest integer. The 35th percentile height in Ventura County is how many inches? Part 3 of 3
In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 3.7 inches. Let X be the height of a randomly chosen child in Ventura County. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X ~NV 55.1 3.7 ▼ Part 2 of 3 Round the following answers to three decimal places. If a Ventura County child is randomly chosen, find the probability that the height is more than 45.8 inches. 0.994 If a Ventura County child is randomly chosen, find the probability that the height is between 53.2 and 55.1 inches. 0.196 Round the following answer to the nearest integer. The 35th percentile height in Ventura County is how many inches? Part 3 of 3
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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![### Ventura County Child Height Distribution
In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches and a standard deviation of 3.7 inches. Let \( X \) represent the height of a randomly chosen child in Ventura County.
#### Distribution
The distribution of \( X \) is denoted as:
\[ X \sim N(55.1, 3.7) \]
#### Probabilities
- **Probability of Height Greater than 45.8 Inches**
If a Ventura County child is randomly chosen, the probability that the height is more than 45.8 inches is:
\[ 0.994 \]
- **Probability of Height Between 53.2 and 55.1 Inches**
If a Ventura County child is randomly chosen, the probability that the height is between 53.2 inches and 55.1 inches is:
\[ 0.196 \]
#### Percentile
- **35th Percentile**
The 35th percentile height in Ventura County is how many inches? (Answer to the nearest integer):
\[ \boxed{} \] (No data provided in the image)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f5de5c0-4789-4438-ad2e-39c0209f7c7c%2F750c2440-2879-4d16-89ef-b6c1d3957d22%2Fhr2d36f_processed.png&w=3840&q=75)
Transcribed Image Text:### Ventura County Child Height Distribution
In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches and a standard deviation of 3.7 inches. Let \( X \) represent the height of a randomly chosen child in Ventura County.
#### Distribution
The distribution of \( X \) is denoted as:
\[ X \sim N(55.1, 3.7) \]
#### Probabilities
- **Probability of Height Greater than 45.8 Inches**
If a Ventura County child is randomly chosen, the probability that the height is more than 45.8 inches is:
\[ 0.994 \]
- **Probability of Height Between 53.2 and 55.1 Inches**
If a Ventura County child is randomly chosen, the probability that the height is between 53.2 inches and 55.1 inches is:
\[ 0.196 \]
#### Percentile
- **35th Percentile**
The 35th percentile height in Ventura County is how many inches? (Answer to the nearest integer):
\[ \boxed{} \] (No data provided in the image)
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