Assume that the population of recording has some arbitrary distribution.

Assume that the population of recording has some arbitrary distribution.

Average length of 250 seconds

Standard deviation of 115 seconds.

Show all theory used ( name of the theory) and excel formula used

The “population” of recording here describes the total recordings available store in an iPod

1.       I have a recording collection of 4000 recordings. What is the probability that the total

play time of my recordings exceeds 280 hours?

2.       try to figure out how many hours of recordings and ipod should be able to hold (in order to accommodate 4000 recording). How many hours should the player hold to be 95% sure to hold 4000 recordings.