The lengths of lumber a machine cuts are normally distributed with a mean of 101 inches and a standard deviation of 0.7 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 101.25 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 101.25 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)

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 lengths of lumber a machine cuts are normally distributed with a mean of 101 inches and a standard deviation of 0.7 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 101.25 inches?
(b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 101.25 inches?
(a) The probability is.
(Round to four decimal places as needed.)
(b) The probability is.
(Round to four decimal places as needed.)
Enter your answer in each of the answer boxes.
P Type here to search
O EI
a
1:46 PM
99+
(?
A d4
4/11/2021
22
B6
9144
insert
elete
fo
4+
prt sc
esc
&
home
%24
4.
backspace
2.
%23
3.
6.
8.
Y
tab
enter
G
J.
K
caps lock
paase
Σ
エ
LL
| 寸
Transcribed Image Text:The lengths of lumber a machine cuts are normally distributed with a mean of 101 inches and a standard deviation of 0.7 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 101.25 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 101.25 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.) Enter your answer in each of the answer boxes. P Type here to search O EI a 1:46 PM 99+ (? A d4 4/11/2021 22 B6 9144 insert elete fo 4+ prt sc esc & home %24 4. backspace 2. %23 3. 6. 8. Y tab enter G J. K caps lock paase Σ エ LL | 寸
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
Point Estimation, Limit Theorems, Approximations, and Bounds
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