The length of songs in a collector's iTunes album collection is uniformly distributed from two to 3.7 minutes. Suppose we randomly pick five albums from the collection. There are a total of 45 songs on the five albums Part (a) In words, define the random variable X. the length, in minutes, of a song on iTunes the number of songs in the collection the number of songs on iTunes the length, in minutes, of a song in the collection Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) ) U 3.7 E Part (c) In words, define the random variable X. the average length, in minutes, of all the songs in the collection the average length, in minutes, of all the songs on iTunes the average length, in minutes, of the songs from a sample of five albums from the collection the average length, in minutes, of the songs from a sample of five albums on iTunes Part (d) Give the distribution of X. (Round your answers to four decimal places.) X N 0.0723 2.85 E Part (e) Find the first quartile for the average song length. (Round your answer to two decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The length of songs in a collector's iTunes album collection is uniformly distributed from two to 3.7 minutes. Suppose we randomly pick five albums from the collection. There are a total of 45 songs on the five albums.

 

Give the distribution of

X.

(Round your answers to four decimal places.)

The length of songs in a collector's iTunes album collection is uniformly distributed from two to 3.7 minutes. Suppose we randomly pick five albums from the collection. There are a total of 45 songs on the
five albums
Part (a)
In words, define the random variable X.
the length, in minutes, of a song on iTunes
the number of songs in the collection
the number of songs on iTunes
the length, in minutes, of a song in the collection
Part (b)
Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)
)
U
3.7
E Part (c)
In words, define the random variable X.
the average length, in minutes, of all the songs in the collection
the average length, in minutes, of all the songs on iTunes
the average length, in minutes, of the songs from a sample of five albums from the collection
the average length, in minutes, of the songs from a sample of five albums on iTunes
Part (d)
Give the distribution of X. (Round your answers to four decimal places.)
X N
0.0723
2.85
E Part (e)
Find the first quartile for the average song length. (Round your answer to two decimal places.)
Transcribed Image Text:The length of songs in a collector's iTunes album collection is uniformly distributed from two to 3.7 minutes. Suppose we randomly pick five albums from the collection. There are a total of 45 songs on the five albums Part (a) In words, define the random variable X. the length, in minutes, of a song on iTunes the number of songs in the collection the number of songs on iTunes the length, in minutes, of a song in the collection Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) ) U 3.7 E Part (c) In words, define the random variable X. the average length, in minutes, of all the songs in the collection the average length, in minutes, of all the songs on iTunes the average length, in minutes, of the songs from a sample of five albums from the collection the average length, in minutes, of the songs from a sample of five albums on iTunes Part (d) Give the distribution of X. (Round your answers to four decimal places.) X N 0.0723 2.85 E Part (e) Find the first quartile for the average song length. (Round your answer to two decimal places.)
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