Q1. A type of chocolate bar does not contain a prize voucher with probability 0.9. Whether or not a bar does not contain a voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let ? denote the number of vouchers that she finds. (i) What sort of distribution does ? have? (ii) How likely is it that the she finds at least two vouchers? (iii) What is the most likely numbers of vouchers that she finds?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Q1. A type of chocolate bar does not contain a prize voucher with probability 0.9. Whether or not a bar
does not contain a voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let ?
denote the number of vouchers that she finds.
(i) What sort of distribution does ? have?
(ii) How likely is it that the she finds at least two vouchers?
(iii) What is the most likely numbers of vouchers that she finds?
A second student keeps buying chocolate bars until he finds a voucher. Let ? denote the number of bars
he buys.
(iv) What is the probability mass
(v) If each bar costs 35 taka, what is the expected cost to the students?
A third student keeps buying chocolate bars until he finds 4 vouchers. In doing so, he buys a total of ?
bars.
(vi) What is the distribution of ??
(vii) What is the probability that this student buys exactly 10 bars?
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