Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order. a) What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order? b) What is the probability that a randomly selected order will be gift wrapped? c) Is gift wrapping independent of the destination of the gifts? Justify your response statistically?
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.
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order.
a) What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
b) What is the probability that a randomly selected order will be gift wrapped?
c) Is gift wrapping independent of the destination of the gifts? Justify your response statistically?
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