In a library of 3000 songs, 50 are from a particular group. The library is shufled and played until the kth song from this group appears. Let Y denote the number of the song in the shufle where the kth song from this group is played.
(a) What is the distribution of the random variable Y ? What values can the random variable Y take?
(b) Let k = 3. Use R to plot the value of p(y) for each possible value of y. What do you notice about the value of p(y) as y increases?