Homework Help is Here – Start Your Trial Now!
Math
Statistics
A pizza shop sells pizzas in four different sizes. The 1,000 most recent orders for a single pizza resulted in the following proportions for the various sizes. Size (inches) 12 Proportion 14 16 0.15 0.30 0.50 0.05 18 With x = the size of a pizza in a single-pizza order, the given table is an approximation to the population distribution of x. (a) Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single-pizza orders. In the long run, we would expect to see approximately % of the single-pizza orders for 12 inch pizza, % for 18 inch pizza. (b) What is the approximate value of P(x< 16)? (c) What is the approximate value of P(x ≤ 16)? % for 14 inch pizza, % for 16 inch pizza, and

A pizza shop sells pizzas in four different sizes. The 1,000 most recent orders for a single pizza resulted in the following proportions for the various sizes. Size (inches) 12 Proportion 14 16 0.15 0.30 0.50 0.05 18 With x = the size of a pizza in a single-pizza order, the given table is an approximation to the population distribution of x. (a) Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single-pizza orders. In the long run, we would expect to see approximately % of the single-pizza orders for 12 inch pizza, % for 18 inch pizza. (b) What is the approximate value of P(x< 16)? (c) What is the approximate value of P(x ≤ 16)? % for 14 inch pizza, % for 16 inch pizza, and

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
### Overview A pizza shop sells pizzas in four different sizes. The analysis of the 1,000 most recent orders for a single pizza resulted in the following proportions for the various sizes: | Size (inches) | 12 | 14 | 16 | 18 | |---------------|----|----|----|----| | Proportion | 0.15 | 0.30 | 0.50 | 0.05 | For a single-pizza order, let \( x \) represent the size of the pizza. The table above provides an approximation of the population distribution of \( x \). ### Analysis Questions **(a) Expected Pizza Size Distribution:** Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single-pizza orders. **Answer:** In the long run, we would expect to see approximately 15% of the single-pizza orders for 12 inch pizza, 30% for 14 inch pizza, 50% for 16 inch pizza, and 5% for 18 inch pizza. **(b) Calculating \( P(x < 16) \):** What is the approximate value of \( P(x < 16) \)? **Answer:** The approximate value of \( P(x < 16) \) is the sum of the proportions for 12 inch and 14 inch pizzas. So, \( P(x < 16) = 0.15 + 0.30 = 0.45 \). **(c) Calculating \( P(x \leq 16) \):** What is the approximate value of \( P(x \leq 16) \)? **Answer:** The approximate value of \( P(x \leq 16) \) is the sum of the proportions for 12 inch, 14 inch, and 16 inch pizzas. So, \( P(x \leq 16) = 0.15 + 0.30 + 0.50 = 0.95 \).
Transcribed Image Text:### Overview A pizza shop sells pizzas in four different sizes. The analysis of the 1,000 most recent orders for a single pizza resulted in the following proportions for the various sizes: | Size (inches) | 12 | 14 | 16 | 18 | |---------------|----|----|----|----| | Proportion | 0.15 | 0.30 | 0.50 | 0.05 | For a single-pizza order, let \( x \) represent the size of the pizza. The table above provides an approximation of the population distribution of \( x \). ### Analysis Questions **(a) Expected Pizza Size Distribution:** Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single-pizza orders. **Answer:** In the long run, we would expect to see approximately 15% of the single-pizza orders for 12 inch pizza, 30% for 14 inch pizza, 50% for 16 inch pizza, and 5% for 18 inch pizza. **(b) Calculating \( P(x < 16) \):** What is the approximate value of \( P(x < 16) \)? **Answer:** The approximate value of \( P(x < 16) \) is the sum of the proportions for 12 inch and 14 inch pizzas. So, \( P(x < 16) = 0.15 + 0.30 = 0.45 \). **(c) Calculating \( P(x \leq 16) \):** What is the approximate value of \( P(x \leq 16) \)? **Answer:** The approximate value of \( P(x \leq 16) \) is the sum of the proportions for 12 inch, 14 inch, and 16 inch pizzas. So, \( P(x \leq 16) = 0.15 + 0.30 + 0.50 = 0.95 \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

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