In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.4 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

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

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.4 inches and a standard deviation of 2.0 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 66 inches.
The probability that the study participant selected at random is less than 66 inches tall is
(Round
(b) Find the probability that a study participant has a height that is between 66 and 70 inches.
The probability that the study participant selected at random is between 66 and 70 inches tall is
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is
(Roun
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05.
B. None of the events are unusual because all the probabilities are greater than 0.05.
C. The event in part (a) is unusual because its probability is less than 0.05.
D. The event in part (b) is unusual because its probability is less than 0.05.
Transcribed Image Text:(a) Find the probability that a study participant has a height that is less than 66 inches. The probability that the study participant selected at random is less than 66 inches tall is (Round (b) Find the probability that a study participant has a height that is between 66 and 70 inches. The probability that the study participant selected at random is between 66 and 70 inches tall is (c) Find the probability that a study participant has a height that is more than 70 inches. The probability that the study participant selected at random is more than 70 inches tall is (Roun (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05. B. None of the events are unusual because all the probabilities are greater than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. The event in part (b) is unusual because its probability is less than 0.05.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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