answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N( b. What is the distribution of ¤? ¤ ~ N( c. What is the distribution of ) x? Σε-Ν( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.5781 and 23.9781 minutes. e. For the 40 runners, find the probability that their average time is between 23.5781 and 23.9781 minutes. f. Find the probability that the randomly selected 40 person team will have a total time more than 964. g. For part e) and f), is the assumption of normal necessary? h. The top 10% of all 40 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 No Yes round? minutes Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ U( b. Suppose that 36 people are surveyed. What is the distribution of x for this sample? I c. What is the probability that the average birth month of the 36 people will be less than 6.8? N(

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
answers to 4 decimal places where possible
and assume a normal distribution.
a. What is the distribution of X? X ~
N(
b. What is the distribution of ¤? ¤ ~
N(
c. What is the distribution of )
x?
Σε-Ν(
d. If one randomly selected runner is
timed, find the probability that this
runner's time will be between 23.5781
and 23.9781 minutes.
e. For the 40 runners, find the probability
that their average time is between
23.5781 and 23.9781 minutes.
f. Find the probability that the randomly
selected 40 person team will have a
total time more than 964.
g. For part e) and f), is the assumption of
normal necessary?
h. The top 10% of all 40 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
No
Yes
round?
minutes
Transcribed Image Text:answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N( b. What is the distribution of ¤? ¤ ~ N( c. What is the distribution of ) x? Σε-Ν( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.5781 and 23.9781 minutes. e. For the 40 runners, find the probability that their average time is between 23.5781 and 23.9781 minutes. f. Find the probability that the randomly selected 40 person team will have a total time more than 964. g. For part e) and f), is the assumption of normal necessary? h. The top 10% of all 40 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 No Yes round? minutes
Treat the number of months X after January
1 that someone is born as uniformly
distributed from 0 to 12. Round all answers
to 4 decimal places where possible.
a. What is the distribution of X? X ~
U(
b. Suppose that 36 people are surveyed.
What is the distribution of x for this
sample? I
c. What is the probability that the
average birth month of the 36 people
will be less than 6.8?
N(
Transcribed Image Text:Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ U( b. Suppose that 36 people are surveyed. What is the distribution of x for this sample? I c. What is the probability that the average birth month of the 36 people will be less than 6.8? N(
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