In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.8 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 68 inches. The probability that the study participant selected at random is less than 68 inches tall is nothing. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 68 and 72 inches. The probability that the study participant selected at random is between 68 and 72 inches tall is nothing. (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 nothing. (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) and (c) are unusual because its probabilities are less than 0.05. B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. C. There are no unusual events because all the probabilities are greater 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 69.8 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 68 inches. The probability that the study participant selected at random is less than 68 inches tall is nothing. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 68 and 72 inches. The probability that the study participant selected at random is between 68 and 72 inches tall is nothing. (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 nothing. (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) and (c) are unusual because its probabilities are less than 0.05. B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. C. There are no unusual events because all the probabilities are greater than 0.05.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
In a survey of a group of men, the heights in the 20-29 age group were normally distributed , with a mean of
69.8
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
68
inches.The probability that the study participant selected at random is less than
68
inches tall is
nothing.
(Round to four decimal places as needed.)(b) Find the probability that a study participant has a height that is between
68
and
72
inches.The probability that the study participant selected at random is between
68
and
72
inches tall is
nothing.
(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
nothing.
(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) and (c)
are unusual because its probabilities are less than 0.05.The events in parts (a), (b), and (c) are unusual because all of their probabilities are
less
than 0.05.There are no unusual events because all the probabilities are greater
than 0.05.Expert Solution
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