LTE 94% cricket 11:05 AM Chapter 7: Central Limit The ... X The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.6 minutes. 47 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N(25 , 2.6 b. What is the distribution of a? c N(25 0.3792 C. What is the distribution of > x? Σε-ΝΕ N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5312 and 24.9312 minutes. 0609 e. For the 47 runners, find the probability that their time is between average 24.5312 and 24.9312 minutes. f. Find the probability that the randomly selected 47 person team will have a total time more than 1179.7. g. For part e) and f), is the assumption of normal necessary? Yes h. The top 10% of all 47 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest No total time that a relav team can have LTE cricket 11:05 AM l94% X Chapter 7: Central Limit The... and assume a normal distribution. a. What is the distribution of X? X ~ N(25 2.6 b. What is the distribution of ? N(25 0.3792 C. What is the distribution of ): х? Σε-ΝΟ N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5312 and 24.9312 minutes. .0609 e. For the 47 runners, find the probability that their average time is between 24.5312 and 24.9312 minutes. f. Find the probability that the randomly selected 47 person team will have a total time more than 1179.7. part e) and f), is the assumption of For g. normal necessary? h. The top 10% of all 47 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship Yes Nov |«minutes round?
LTE 94% cricket 11:05 AM Chapter 7: Central Limit The ... X The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.6 minutes. 47 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N(25 , 2.6 b. What is the distribution of a? c N(25 0.3792 C. What is the distribution of > x? Σε-ΝΕ N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5312 and 24.9312 minutes. 0609 e. For the 47 runners, find the probability that their time is between average 24.5312 and 24.9312 minutes. f. Find the probability that the randomly selected 47 person team will have a total time more than 1179.7. g. For part e) and f), is the assumption of normal necessary? Yes h. The top 10% of all 47 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest No total time that a relav team can have LTE cricket 11:05 AM l94% X Chapter 7: Central Limit The... and assume a normal distribution. a. What is the distribution of X? X ~ N(25 2.6 b. What is the distribution of ? N(25 0.3792 C. What is the distribution of ): х? Σε-ΝΟ N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5312 and 24.9312 minutes. .0609 e. For the 47 runners, find the probability that their average time is between 24.5312 and 24.9312 minutes. f. Find the probability that the randomly selected 47 person team will have a total time more than 1179.7. part e) and f), is the assumption of For g. normal necessary? h. The top 10% of all 47 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship Yes Nov |«minutes round?
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
Transcribed Image Text:LTE 94%
cricket
11:05 AM
Chapter 7: Central Limit The ...
X
The average time to run the 5K fun run is
25 minutes and the standard deviation is
2.6 minutes. 47 runners are randomly
selected to run the 5K fun run. Round all
answers to 4 decimal places where possible
and assume a normal distribution.
a. What is the distribution of X? X ~
N(25
,
2.6
b. What is the distribution of a? c
N(25
0.3792
C. What is the distribution of > x?
Σε-ΝΕ
N(
d. If one randomly selected runner is
timed, find the probability that this
runner's time will be between 24.5312
and 24.9312 minutes. 0609
e. For the 47 runners, find the probability
that their
time is between
average
24.5312 and 24.9312 minutes.
f. Find the probability that the randomly
selected 47 person team will have a
total time more than 1179.7.
g. For part e) and f), is the assumption of
normal necessary? Yes
h. The top 10% of all 47 person team
relay races will compete in the
championship round. These are the
10% lowest times. What is the longest
No
total time that a relav team can have
Transcribed Image Text:LTE
cricket
11:05 AM
l94%
X
Chapter 7: Central Limit The...
and assume a normal distribution.
a. What is the distribution of X? X ~
N(25
2.6
b. What is the distribution of ?
N(25
0.3792
C. What is the distribution of ):
х?
Σε-ΝΟ
N(
d. If one randomly selected runner is
timed, find the probability that this
runner's time will be between 24.5312
and 24.9312 minutes. .0609
e. For the 47 runners, find the probability
that their average time is between
24.5312 and 24.9312 minutes.
f. Find the probability that the randomly
selected 47 person team will have a
total time more than 1179.7.
part e) and f), is the assumption of
For
g.
normal necessary?
h. The top 10% of all 47 person team
relay races will compete in the
championship round. These are the
10% lowest times. What is the longest
total time that a relay team can have
and still make it to the championship
Yes
Nov
|«minutes
round?
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