A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. Lengths of Cuckoo Bird Eggs Length (in millimeters) Percent of eggs 18.75-19.75 0.8 19.75-20.75 4.0 20.75-21.75 17.3 21.75-22.75 37.9 22.75-23.75 28.5 23.75-24.75 10.7 24.75-25.75 0.8 (a) What percent of the group of eggs was less than 22.75 mm long? 60 % (b) What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long? 0.944

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow.

**Lengths of Cuckoo Bird Eggs**

| Length (in millimeters) | Percent of eggs |
|-------------------------|-----------------|
| 18.75–19.75             | 0.8             |
| 19.75–20.75             | 4.0             |
| 20.75–21.75             | 17.3            |
| 21.75–22.75             | 37.9            |
| 22.75–23.75             | 28.5            |
| 23.75–24.75             | 10.7            |
| 24.75–25.75             | 0.8             |

**(a)** What percent of the group of eggs was less than 22.75 mm long?  
- **Answer:** 60%

**(b)** What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long?  
- **Answer:** 0.944 (Incorrect calculation)

**Explanation of Table and Calculations:**

- The table displays the lengths of cuckoo bird eggs measured in millimeters and the percentage of eggs that fall within each length range.
- To solve (a), sum the percentages of all categories less than 22.75 mm: 0.8 + 4.0 + 17.3 + 37.9 = 60%.
- For (b), the percentages for the range 19.75 mm to 22.75 mm are added: 4.0 + 17.3 + 37.9 = 59.2%. This converts to a probability of 0.592, indicating a mistake in the entry of 0.944.
Transcribed Image Text:A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. **Lengths of Cuckoo Bird Eggs** | Length (in millimeters) | Percent of eggs | |-------------------------|-----------------| | 18.75–19.75 | 0.8 | | 19.75–20.75 | 4.0 | | 20.75–21.75 | 17.3 | | 21.75–22.75 | 37.9 | | 22.75–23.75 | 28.5 | | 23.75–24.75 | 10.7 | | 24.75–25.75 | 0.8 | **(a)** What percent of the group of eggs was less than 22.75 mm long? - **Answer:** 60% **(b)** What is the probability that one of the eggs selected at random was at least 19.75 mm long but less than 22.75 mm long? - **Answer:** 0.944 (Incorrect calculation) **Explanation of Table and Calculations:** - The table displays the lengths of cuckoo bird eggs measured in millimeters and the percentage of eggs that fall within each length range. - To solve (a), sum the percentages of all categories less than 22.75 mm: 0.8 + 4.0 + 17.3 + 37.9 = 60%. - For (b), the percentages for the range 19.75 mm to 22.75 mm are added: 4.0 + 17.3 + 37.9 = 59.2%. This converts to a probability of 0.592, indicating a mistake in the entry of 0.944.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Frequency Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman