Question

Sonic Youth is playing at Nasa and Geir is leaving. Kim Gordon is on Bass. On the album Goo Kim plays 11 songs, the total is 49 minutes and 23 seconds. Kim also sings and sings on 6 tracks on the album. Sonic Youth have announced that they will be playing 21 songs at the concert. Assuming that the average length of a song is normally distributed and the standard deviation is 45 seconds. Hint: You have to give yourself one thing and another. Match units. What are the chances of Kim singing more than an hour at the concert?

Answer 1

Sonic Youth is playing at Nasa and Geir is leaving. Kim Gordon is on Bass. On the album Goo Kim plays 11 songs, the total is 49 minutes and 23 seconds.

i.e. Average length of a song is = (49 min & 23 sec)/11

= (49*60 + 23)/11 sec.

= 2963/11

= 269.3636

i.e. μ = 269.3636 sec

Assuming that the average length of a song is normally distributed and the standard deviation is 45 seconds.

i.e. σ = 46 sec

Kim play 21 songs at the concert.

We have to find the chances of Kim singing more than an hour (i.e. 3600 sec.) at the concert?

i.e. we have to find the chances of Length of Kim's song is more than (3600/21 = 171.4286 sec.)?

Let, X be length of the song played by Kim.