Q1: Can you solve all the parts to this question with clearly showing which answer is for what part, and PLEASE follow the rounding guidlines for each partNASA excludes anyone under 5'2" in height and anyone over 6'3" from being an astronaut pilot (NASA 2004). In metric units, these values for the lower and upper height restrictions are 157.5cm and 190.5cm, respectively. The distribution of American adult heights within a sex and age group is reasonably well approximated by normal distributions as follows:20-29 year old males: 20-29 year old females: We want to answer the question: What fraction of the young male adults is eligible to be an astronaut pilot by these height constraints? **Transcription for Educational Website:****Probability Calculation for Male Height Eligibility**1. **Objective:** Calculate the probability of males having heights between 157.5 cm and 190.5 cm. Add the appropriate greater than and less than symbols in the boxes for accuracy.2. **Standard Normal Deviate Calculations:** - **Lower Bound:** Calculate the Z-score for the lower height limit and round to two decimal places, then fill in the provided box. - **Upper Bound:** Calculate the Z-score for the upper height limit and round to two decimal places, then fill in the provided box.3. **Finding the Probability:** - Use this formula: \(1 - \Pr(Z < \text{lower bound}) + \Pr(Z > \text{upper bound})\). - Utilize the Statistical Table B to find exact probabilities for standard normal distribution: - **\(\Pr(Z<157.5)\):** Find the exact probability from the table and fill it in without rounding. - **\(\Pr(Z>190.5)\):** Find the exact probability from the table and fill it in without rounding.4. **Final Calculation:** - Determine the percentage of young male adults eligible to be astronaut pilots based on height. - Report this answer as a percentage, rounding to one decimal place, in the provided box.This exercise teaches how to apply the normal distribution and statistical tables for solving real-world problems related to probability in a scientific context.

Given, NASA excludes anyone under 157.5 cm in height and anyone over 190.5cm from being an astronaut…

Answered: Can you solve all the parts to this…

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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Q1: Can you solve all the parts to this question with clearly showing which answer is for what part, and PLEASE follow the rounding guidlines for each part

NASA excludes anyone under 5'2" in height and anyone over 6'3" from being an astronaut pilot (NASA 2004). In metric units, these values for the lower and upper height restrictions are 157.5cm and 190.5cm, respectively.

The distribution of American adult heights within a sex and age group is reasonably well approximated by normal distributions as follows:

20-29 year old males:

20-29 year old females:

We want to answer the question: What fraction of the young male adults is eligible to be an astronaut pilot by these height constraints?

**Transcription for Educational Website:**

**Probability Calculation for Male Height Eligibility**

1. **Objective:** Calculate the probability of males having heights between 157.5 cm and 190.5 cm. Add the appropriate greater than and less than symbols in the boxes for accuracy.

2. **Standard Normal Deviate Calculations:**
- **Lower Bound:** Calculate the Z-score for the lower height limit and round to two decimal places, then fill in the provided box.
- **Upper Bound:** Calculate the Z-score for the upper height limit and round to two decimal places, then fill in the provided box.

3. **Finding the Probability:**
- Use this formula: \(1 - \Pr(Z < \text{lower bound}) + \Pr(Z > \text{upper bound})\).
- Utilize the Statistical Table B to find exact probabilities for standard normal distribution:
- **\(\Pr(Z<157.5)\):** Find the exact probability from the table and fill it in without rounding.
- **\(\Pr(Z>190.5)\):** Find the exact probability from the table and fill it in without rounding.

4. **Final Calculation:**
- Determine the percentage of young male adults eligible to be astronaut pilots based on height.
- Report this answer as a percentage, rounding to one decimal place, in the provided box.

This exercise teaches how to apply the normal distribution and statistical tables for solving real-world problems related to probability in a scientific context.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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