The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.6 grams with a standard deviation of 0.17 grams. Enter your responses as a decimal with 4 decimal places. (a) What is the probability that a randomly chosen mouse has a mass of less than 20.41 grams? 0.1319 Show your work. Show me what you entered into the calculator. P (X-20.6/0.17 < 20.41-20.6/0.17 IP 3D (Z < -1.1176 (b) What proportion of mice have a mass between 20.52 and 20.69 grams? 0.3827 Show your work. Show me what you entered into the calculator. P (20.52 < x < 20.69) P (20.52 -20.6 /0.17 < 20.6/0.17 < 20.69- 20.6/0.17 (c) 15% of all mice have a mass of less than 20.4239 grams. Show your work. Show me what you entered into the calculator. 15 /100 =0.15 P (Z < 9-20.6/0.17) =0.15 P (z < -1.036) =0.15
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.6 grams with a standard deviation of 0.17 grams. Enter your responses as a decimal with 4 decimal places. (a) What is the probability that a randomly chosen mouse has a mass of less than 20.41 grams? 0.1319 Show your work. Show me what you entered into the calculator. P (X-20.6/0.17 < 20.41-20.6/0.17 IP 3D (Z < -1.1176 (b) What proportion of mice have a mass between 20.52 and 20.69 grams? 0.3827 Show your work. Show me what you entered into the calculator. P (20.52 < x < 20.69) P (20.52 -20.6 /0.17 < 20.6/0.17 < 20.69- 20.6/0.17 (c) 15% of all mice have a mass of less than 20.4239 grams. Show your work. Show me what you entered into the calculator. 15 /100 =0.15 P (Z < 9-20.6/0.17) =0.15 P (z < -1.036) =0.15
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
only b
Transcribed Image Text:The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.6
grams with a standard deviation of 0.17 grams. Enter your responses as a decimal with 4 decimal places.
(a) What is the probability that a randomly chosen mouse has a mass of less than 20.41 grams? 0.1319
Show your work. Show me what you entered into the calculator.
P (X-20.6/0.17 < 20.41-20.6/0.17
(Z < -1.1176
(b) What proportion of mice have a mass between 20.52 and 20.69 grams? 0.3827
Show your work. Show me what you entered into the calculator.
P (20.52 < x < 20.69)
P (20.52 -20.6 /0.17 < 20.6/0.17 < 20.69-
20.6/0.17
(c) 15% of all mice have a mass of less than 20.4239
grams.
Show your work. Show me what you entered into the calculator.
15 /100 =0.15
P (Z < 9- 20.6/0.17) =ø.15
P (z < -1.036) =0.15
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman