Homework Help is Here – Start Your Trial Now!
Math
Statistics
The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of μ = 4.1 minutes and a standard deviation of a = 0.56 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 4 and 4.5 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length has been expressed in this problem. minutes (d) There are 235 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two decimals in your answer. songs (e) From the time he set his mp3-player to shuffle, there has been 17 songs randomly chosen and played in succession. What is the chance that the 17-th song played is the 8-th to be longer than 4.1 minutes? Enter your answer to four decimals (hint: use Binomial distribution).

The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of μ = 4.1 minutes and a standard deviation of a = 0.56 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 4 and 4.5 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length has been expressed in this problem. minutes (d) There are 235 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two decimals in your answer. songs (e) From the time he set his mp3-player to shuffle, there has been 17 songs randomly chosen and played in succession. What is the chance that the 17-th song played is the 8-th to be longer than 4.1 minutes? Enter your answer to four decimals (hint: use Binomial distribution).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of = 4.1 minutes and a standard deviation of a = 0.56 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 4 and 4.5 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length has been expressed in this problem. minutes (d) There are 235 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two decimals in your answer. songs (e) From the time he set his mp3-player to shuffle, there has been 17 songs randomly chosen and played in succession. What is the chance that the 17-th song played is the 8-th to be longer than 4.1 minutes? Enter your answer to four decimals (hint: use Binomial distribution).
Transcribed Image Text:The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of = 4.1 minutes and a standard deviation of a = 0.56 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 4 and 4.5 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length has been expressed in this problem. minutes (d) There are 235 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two decimals in your answer. songs (e) From the time he set his mp3-player to shuffle, there has been 17 songs randomly chosen and played in succession. What is the chance that the 17-th song played is the 8-th to be longer than 4.1 minutes? Enter your answer to four decimals (hint: use Binomial distribution).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS