The length of songs in a collector's iTunes album collection is uniformly distributed from two to 3.5 minutes. Suppose we randomly pick five albums from the collection. There are a total of 42 songs on the five albums.

In words, define the random variable X.

a the length, in minutes, of a song in the collection

b the length, in minutes, of a song on iTunes

c the number of songs on iTunes

d the number of songs in the collection

Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)

X ~_________(___________,____________)

Give the distribution ofX.(Round your answers to four decimal places.)

X~_______(_____________,__________)

Find the first quartile for the average song length. (Round your answer to two decimal places.)

____________min

Find the IQR (interquartile range) for the average song length. (Round your answer to two decimal places.)

___________min