The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 38 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 38. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value ++++++ -4 -3 + Click and drag the arrows to adjust the values. -1.5 -1 0 1 2 (e) Sketch the graph and write the probability statement. Edit Insert Formats ▾ B I U x₂ x² 3:3 € +++++++++ A 3 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. <> 4 Σ+ Σ AU

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
The percent of fat calories that a person in America consumes each day is normally distributed with a mean
of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X =
percent of fat calories.
(a) Find the z-score corresponding to 38 percent of fat calories, rounded to 3 decimal places.
(b) Find the probability that the percent of fat calories a person consumes is more than 38.
(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use
your z-score from part (a), rounded to one decimal place).
Shade: Left of a value
++++++
-4
-3
+ Click and drag the arrows to adjust the values.
-1.5
-1
0
1
2
(e) Sketch the graph and write the probability statement.
Edit Insert Formats ▾ B I U x₂ x²
3:3
€
+++++++++
A
3
(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3
decimal places.
<>
4
Σ+ Σ
AU
Transcribed Image Text:The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 38 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 38. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value ++++++ -4 -3 + Click and drag the arrows to adjust the values. -1.5 -1 0 1 2 (e) Sketch the graph and write the probability statement. Edit Insert Formats ▾ B I U x₂ x² 3:3 € +++++++++ A 3 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. <> 4 Σ+ Σ AU
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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