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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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