7.59 Suppose a playlist on an MP3 music player consists of 100 songs, of which eight are by a particular artist.

Suppose that songs are played by selecting a song at random (with replacement) from the playlist. The random variable x represents the number of songs played until a song by this artist is played.

a. Explain why the probability distribution of x is not binomial.

b. Find the following probabilities. (Hint: See Example 7.22.)

i. ps4d ii. Psx # 4d iii. Psx . 4d iv. Psx $ 4d

c. Interpret each of the probabilities in Part

(b) and explain the difference between them.