It is known that diskettes produced by a certain company will be defective with probability .01, independently of each other. The company sells the diskettes in packages of size 10 and offers a money-back guarantee that at most 1 of the 10 diskettes in the package will be defective. The guarantee is that the customer can return the entire package of diskettes if he or she finds more than one defective diskette in it. A customer continues to buy a pack of diskettes until they come across a pack that is eligible for return. What is the probability that the customer would have to buy 20 or more packages until they get a package that is eligible for return? (If needed round to four decimal places).
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.
It is known that diskettes produced by a certain company will be defective with
probability .01, independently of each other. The company sells the diskettes in packages of
size 10 and offers a money-back guarantee that at most 1 of the 10 diskettes in the package will
be defective. The guarantee is that the customer can return the entire package of diskettes if
he or she finds more than one defective diskette in it. A customer continues to buy a pack of
diskettes until they come across a pack that is eligible for return. What is the probability that
the customer would have to buy 20 or more packages until they get a package that is eligible
for return? (If needed round to four decimal places).
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