Round the following answer to the nearest integer. The 55th percentile height in Ventura County is how many inches? Add Work

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Part 1 of 3**

In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.7 inches and a standard deviation of 7.1 inches. Let \( X \) be the height of a randomly chosen child in Ventura County.

**Distribution:**
- Type: Normal (N)
- Mean: 53.7 inches
- Standard Deviation: 7.1 inches

---

**Part 2 of 3**

**Round the following answers to three decimal places.**

1. If a Ventura County child is randomly chosen, find the probability that the height is at least 35.9 inches.
   - **Probability:** 0.994

2. If a Ventura County child is randomly chosen, find the probability that the height is between 57.3 and 60.9 inches.
   - **Probability:** 0.151

---

**Part 3 of 3**

**Round the following answer to the nearest integer.**

The 55th percentile height in Ventura County is how many inches?
- (Box for input is provided)

- **Add Work** Button

**Submit Question** Button
Transcribed Image Text:**Part 1 of 3** In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.7 inches and a standard deviation of 7.1 inches. Let \( X \) be the height of a randomly chosen child in Ventura County. **Distribution:** - Type: Normal (N) - Mean: 53.7 inches - Standard Deviation: 7.1 inches --- **Part 2 of 3** **Round the following answers to three decimal places.** 1. If a Ventura County child is randomly chosen, find the probability that the height is at least 35.9 inches. - **Probability:** 0.994 2. If a Ventura County child is randomly chosen, find the probability that the height is between 57.3 and 60.9 inches. - **Probability:** 0.151 --- **Part 3 of 3** **Round the following answer to the nearest integer.** The 55th percentile height in Ventura County is how many inches? - (Box for input is provided) - **Add Work** Button **Submit Question** Button
Expert Solution
Step 1

given data 

normal distribution

μ = 53.7σ= 7.1here your answers of first two parts are correct so i am solving third part only. 

steps

Step by step

Solved in 2 steps

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