In Exercise 43, let Y denote the number of red balls chosen after the first but before
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In Exercise 43, let Y denote the number of red balls chosen after the first but before the second black ball has been chosen.
(a) Express Y as the sum of n random variables, each of which is equal to either 0 or 1.
(b) Find E[Y].
(c) Compare E[Y] to E[X] obtained in Exercise 43.
(d) Can you explain the result obtained in part (c)?
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