a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 22 foot tall?
a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 22 foot tall?
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 5
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with a standard deviation of 0.8 feet. Let \( X \) be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
a. What is the distribution of \( X \)? \( X \sim N(\_\_\_\_, \_\_\_\_) \)
b. What is the median giraffe height? \(\_\_\_\_\) ft.
c. What is the Z-score for a giraffe that is 22 feet tall? \(\_\_\_\_\)
d. What is the probability that a randomly selected giraffe will be shorter than 19.4 feet tall? \(\_\_\_\_\)
e. What is the probability that a randomly selected giraffe will be between 18 and 18.8 feet tall? \(\_\_\_\_\)
f. The 85th percentile for the height of giraffes is \(\_\_\_\_\) ft.
#### Hint:
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Transcribed Image Text:### Question 5
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with a standard deviation of 0.8 feet. Let \( X \) be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
a. What is the distribution of \( X \)? \( X \sim N(\_\_\_\_, \_\_\_\_) \)
b. What is the median giraffe height? \(\_\_\_\_\) ft.
c. What is the Z-score for a giraffe that is 22 feet tall? \(\_\_\_\_\)
d. What is the probability that a randomly selected giraffe will be shorter than 19.4 feet tall? \(\_\_\_\_\)
e. What is the probability that a randomly selected giraffe will be between 18 and 18.8 feet tall? \(\_\_\_\_\)
f. The 85th percentile for the height of giraffes is \(\_\_\_\_\) ft.
#### Hint:
**Helpful videos:**
- [Find a Probability](#)
- [Finding a Value Given a Probability](#)
- [Hint](#)
**Question Help:** [Message instructor](#)
**Submit Question**
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