A second student keeps buying chocolate bars until he finds a prize voucher. Let Y denote the number of bars he buys before getting a bar with a prize voucher. a. What down the probability mass function of Y and verify whether it is pmf or not. b. If each bar costs 35 taka, what is the expected cost to the second student?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A second student keeps buying chocolate bars until he finds a prize voucher. Let Y denote the number of
bars he buys before getting a bar with a prize voucher.
a. What down the probability mass function of Y and verify whether it is pmf or not.
b. If each bar costs 35 taka, what is the expected cost to the second student?

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