Songs on an iPod:  Suppose an iPod has 3,000 songs. The histogram below shows the distribution of the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the standard deviation is 1.63 minut

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4.41 Songs on an iPod:  Suppose an iPod has 3,000 songs. The histogram below shows the distribution of the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the standard deviation is 1.63 minutes.



(a) Calculate the probability that a randomly selected song lasts more than 5 minutes (notice that the distribution is skewed)._______________
 (please round to four decimal places)


(b) You are about to go for an hour run and you make a random playlist of 15 songs. What is the probability that your playlist lasts for the entire duration of your run? Hint: If you want the playlist to last 60 minutes, what should be the minimum average length of a song? (You may assume that the conditions for using the CLT are met)
The minimum average length of a song if the playlist is to last the full 60 minutes can be:_______________  minutes
The probability requested is:____________  (please round to four decimal places)


(c) You are about to take a trip to visit your parents and the drive is 6 hours. You make a random playlist of 100 songs. What is the probability that your playlist lasts the entire drive?________________  (please round to four decimal places)
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4.41 Songs on an iPod: Suppose an iPod has 3,000 songs. The histogram below shows the distribution of
the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the
standard deviation is 1.63 minutes.
COLLEGE
People
nvoice
Pages
800 -
Account
Files
600
Syllabus
Dashboard
Outcomes
400-
Courses
Quizzes
200
Modules
Feen Shot
02...4.01 AM
Calendar
Conferences
Collaborations
4
6
10
Inbox
Length of song
Course Evaluation
Google Drive
History
(a) Calculate the probability that a randomly selected song lasts more than 5 minutes (notice that the
distribution is skewed).
(please round to four decimal places)
Help
TaxReturn
(b) You are about to go for an hour run and you make a random playlist of 15 songs. What is the probability
that your playlist lasts for the entire duration of your run? Hint: If you want the playlist to last 60 minutes,
what should be the minimum average length of a song? (You may assume that the conditions for using the
CLT are met)
The minimum average length of a song if the playlist is to last the full 60 minutes can be:
minutes
The probability requested is:
| (please round to four decimal places)
13
FEB
11
étv
W
280
Transcribed Image Text:Chrome File Edit View History Bookmarks Реople Tab Window Help Thu Feb 11 9:25 PM The countie X login.rstudi X b QUESTION X N Orbi Login x O Devices AA AVC ID Week 6 Hor X abell-22/W X RStudio Clo x + R avc.instructure.com/courses/27594/assignments/383417 ebay R Ebates: Coupons,... Mr. Rebates - Cas... Giving Assistant -... Login 211194838- Apps Cashback rebates... SparkNotes: The... SparkNotes: The... The House of the... ocal.jpg Discussions Question 3 C 4 pts 51 O Details > AN Grades ANTELOPE VALLEY PDF 4.41 Songs on an iPod: Suppose an iPod has 3,000 songs. The histogram below shows the distribution of the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the standard deviation is 1.63 minutes. COLLEGE People nvoice Pages 800 - Account Files 600 Syllabus Dashboard Outcomes 400- Courses Quizzes 200 Modules Feen Shot 02...4.01 AM Calendar Conferences Collaborations 4 6 10 Inbox Length of song Course Evaluation Google Drive History (a) Calculate the probability that a randomly selected song lasts more than 5 minutes (notice that the distribution is skewed). (please round to four decimal places) Help TaxReturn (b) You are about to go for an hour run and you make a random playlist of 15 songs. What is the probability that your playlist lasts for the entire duration of your run? Hint: If you want the playlist to last 60 minutes, what should be the minimum average length of a song? (You may assume that the conditions for using the CLT are met) The minimum average length of a song if the playlist is to last the full 60 minutes can be: minutes The probability requested is: | (please round to four decimal places) 13 FEB 11 étv W 280
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