In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.7 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than 67 inches tall is 0.28430.2843. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 67 and 72 inches. The probability that the study participant selected at random is between 67 and 72 inches tall is 0.580.58. (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 72 inches. The probability that the study participant selected at random is more than 72 inches tall is 0.13570.1357. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. There are no unusual events because all the probabilities are greater than 0.05. D. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.7 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than 67 inches tall is 0.28430.2843. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 67 and 72 inches. The probability that the study participant selected at random is between 67 and 72 inches tall is 0.580.58. (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 72 inches. The probability that the study participant selected at random is more than 72 inches tall is 0.13570.1357. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. There are no unusual events because all the probabilities are greater than 0.05. D. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
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
In a survey of a group of men, the heights in the 20-29 age group were normally distributed , with a mean of
68.7
inches and a standard deviation of
3.0
inches. A study participant is randomly selected. Complete parts (a) through (d) below.(a) Find the probability that a study participant has a height that is less than
67
inches.The probability that the study participant selected at random is less than
67
inches tall is
0.28430.2843.
(Round to four decimal places as needed.)(b) Find the probability that a study participant has a height that is between
67
and
72
inches.The probability that the study participant selected at random is between
67
and
72
inches tall is
0.580.58.
(Round to four decimal places as needed.)(c) Find the probability that a study participant has a height that is more than
72
inches.The probability that the study participant selected at random is more than
72
inches tall is
0.13570.1357.
(Round to four decimal places as needed.)(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
The events in parts (a), (b), and (c) are unusual because all of their probabilities are
less
than 0.05.The event in part
(a)
is unusual because its probability is less than 0.05.There are no unusual events because all the probabilities are greater
than 0.05.The events in parts
(a) and (c)
are unusual because its probabilities are less than 0.05.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 5 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