Suppose a playlist on an MP3 music player consisting of 100 songs includes 8 by a particular

Question:

Suppose a playlist on an MP3 music player consisting of 100 songs includes 8 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 until a song by this artist is played.
a. Explain why the probability of x is not binomial.
b. Find the following probabilities: i. p(4) ii. P(x # 4) iii. P(x . 4) iv. P(x $ 4)
c. Interpret each of the probabilities in Part (b) and explain the difference between them. Distribution
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