In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.8 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 65 inches. The probability that the study participant selected at random is less than 65 inches tall is (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 65 and 70 inches. The probability that the study participant selected at random is between 65 and 70 inches tall is (Round to four decimal places as needed.) (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 (Round to four decimal places as needed.)

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.8 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 65 inches. The probability that the study participant selected at random is less than 65 inches tall is (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 65 and 70 inches. The probability that the study participant selected at random is between 65 and 70 inches tall is (Round to four decimal places as needed.) (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 (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.8 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 65 inches.
The probability that the study participant selected at random is less than 65 inches tall is
(Round to four decimal places as needed.)
(b) Find the probability that a study participant has a height that is between 65 and 70 inches.
The probability that the study participant selected at random is between 65 and 70 inches tall is
(Round to four decimal places as needed.)
(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
(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. There are no unusual events because all the probabilities are greater than 0.05.
C. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
D. The event in part (a) is unusual because its probability is less than 0.05.

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