M Inbox (4,00 ← < → C ☑ WeBWorK ✓ WeBWorK WEBWORK Billing Infor WeBWorK WeBWorK ☑ b Success C ☑ Men's Run × WeBWorK ChatGPT ✓ webwork.ucalgary.ca/webwork2/W2024STAT213L02L04/Assignment_4/12/?effective User=30231227 WeBWorK / W2024STAT213L02L04/ Assignment 4 / 12 MAIN MENU Courses Homework Sets Assignment 4 Problem 12 User Settings Grades Problem 1 ✓ Problem 2 ✓ Problem 3 x Problem 4 ✓ Problems MAA MATHEMATICAL ASSOCIATION OF AMERICA Previous Problem Problem List Next Problem Assignment 4: Problem 12 (1 point) The length of songs 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 = 4.3 minutes and a standard deviation of σ = 0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.) The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next. (a) What is the probability that the next song to be played is between 3.9 and 4.85 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) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals. Problem 5 ✓ Problem 6 ... Problem 7 Problem 8 ... Problem 9 minutes (d) There are 247 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 Problem 10 Problem 11 Problem 12 Problem 13 Preview My Answers Submit Answers You have attempted this problem 0 times. You have 4 attempts remaining. Page generated at 03/11/2024 at 10:47pm MDT WeBWorK © 1996-2022 | theme: math4 | ww_version: 2.17 | pg_version 2.17 | The WeBWorK Project Finish update: Logged in as Musa CHEEMA. Log Out [+>

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The length of songs 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 �=4.3 minutes and a standard deviation of �=0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.)

The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.

(a) What is the probability that the next song to be played is between 3.9 and 4.85 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) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals.

minutes

(d) There are 247 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

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Assignment 4: Problem 12
(1 point)
The length of songs 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 = 4.3 minutes and a
standard deviation of σ = 0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.)
The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.
(a) What is the probability that the next song to be played is between 3.9 and 4.85 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) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals.
Problem 5 ✓
Problem 6 ...
Problem 7
Problem 8 ...
Problem 9
minutes
(d) There are 247 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
Problem 10
Problem 11
Problem 12
Problem 13
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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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