Homework Help is Here – Start Your Trial Now!
Math
Statistics
d. What is the probability that a randomly selected watermelon will weigh more than 6.5 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.7 and 7.7 kg? f. The 80th percentile for the weight of seedless watermelons is kg.

d. What is the probability that a randomly selected watermelon will weigh more than 6.5 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.7 and 7.7 kg? f. The 80th percentile for the weight of seedless watermelons is kg.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

please answer d. e. and f.

### Normal Distribution of Seedless Watermelon Weights Suppose that the weight of seedless watermelons is normally distributed with a mean of 6.1 kg and a standard deviation of 1.5 kg. Let \( X \) be the weight of a randomly selected seedless watermelon. Round all answers to four decimal places where possible. #### Questions: a. **What is the distribution of \( X \)?** \( X \sim N(\text{mean}, \text{standard deviation}) \) b. **What is the median seedless watermelon weight?** ____ kg c. **What is the Z-score for a seedless watermelon weighing 6.6 kg?** ____ d. **What is the probability that a randomly selected watermelon will weigh more than 5.5 kg?** ____ e. **What is the probability that a randomly selected seedless watermelon will weigh between 6.7 and 7.7 kg?** ____ f. **The 80th percentile for the weight of seedless watermelons is** ____ kg #### Explanation of Key Concepts: - **Normal Distribution:** A type of continuous probability distribution for a real-valued random variable. This distribution is symmetric and characterized by its mean (average) and standard deviation. - **Z-score:** Represents the number of standard deviations a data point is from the mean. It is a way of standardizing scores across different scales. - **Percentiles:** A measure used in statistics indicating the value below which a given percentage of observations fall. For example, the 80th percentile is the value below which 80% of the data points lie.
Transcribed Image Text:### Normal Distribution of Seedless Watermelon Weights Suppose that the weight of seedless watermelons is normally distributed with a mean of 6.1 kg and a standard deviation of 1.5 kg. Let \( X \) be the weight of a randomly selected seedless watermelon. Round all answers to four decimal places where possible. #### Questions: a. **What is the distribution of \( X \)?** \( X \sim N(\text{mean}, \text{standard deviation}) \) b. **What is the median seedless watermelon weight?** ____ kg c. **What is the Z-score for a seedless watermelon weighing 6.6 kg?** ____ d. **What is the probability that a randomly selected watermelon will weigh more than 5.5 kg?** ____ e. **What is the probability that a randomly selected seedless watermelon will weigh between 6.7 and 7.7 kg?** ____ f. **The 80th percentile for the weight of seedless watermelons is** ____ kg #### Explanation of Key Concepts: - **Normal Distribution:** A type of continuous probability distribution for a real-valued random variable. This distribution is symmetric and characterized by its mean (average) and standard deviation. - **Z-score:** Represents the number of standard deviations a data point is from the mean. It is a way of standardizing scores across different scales. - **Percentiles:** A measure used in statistics indicating the value below which a given percentage of observations fall. For example, the 80th percentile is the value below which 80% of the data points lie.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS