A type of chocolate bar contains, with probability 0.1, a prize voucher. Whether or not a bar contains a voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let X denote the number of vouchers that she finds. (i) What sort of distribution does X have?(ii) How likely is it that the student finds no vouchers?(iii) How likely is it that she finds at least two vouchers?(iv) What is the most likely number of vouchers that she finds?

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 type of chocolate bar contains, with probability 0.1, a prize voucher. Whether or not a bar contains a voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let X denote the number of vouchers that she finds.

(i) What sort of distribution does X have?
(ii) How likely is it that the student finds no vouchers?
(iii) How likely is it that she finds at least two vouchers?
(iv) What is the most likely number of vouchers that she finds?

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