Question
In a survey of a group ofmen, the heights in the20-29 age group were normallydistributed, with a mean of 68.9 inches and a standard deviation
In a survey of a group ofmen, the heights in the20-29 age group were normallydistributed, with a mean of 68.9 inches and a standard deviation of 4.0 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
Round to four decimal places asneeded.)
(b) Find the probability that a study participant has a height that is between 67 and 71 inches.
The probability that the study participant selected at random is between 67 and 71 inches tall is
(Round to four decimal places asneeded.)
(c) Find the probability that a study participant has a height that is more than 71 inches.
The probability that the study participant selected at random is more than 71 inches tall is
(Round to four decimal places asneeded.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.
Therearenounusualeventsbecausealltheprobabilitiesaregreater than 0.05.
This is the correct answer.
B.
The events in parts (a)and(c) are unusual because its probabilities are less than 0.05.
C.
Theeventsinparts(a),(b),and(c)areunusualbecausealloftheirprobabilitiesareless than 0.05.
D.
The event in part (a) is unusual because its probability is less than 0.05.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started