In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bought premium gas. Of those who bought regular gas, 28% paid with a credit card. Of customers who bought midgrade and premium gas, 34% and 42%, respectively, paid with a credit card. Suppose we select a customer at random. a.) Draw a tree diagram to model this chance process. b.) Find the probability that the customer paid with a credit card. c.) Given that the customer paid with a credit card, find the probability that she or he bought premium gas.
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.
11.) In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bought premium gas. Of those who bought regular gas, 28% paid with a credit card. Of customers who bought midgrade and premium gas,
34% and 42%, respectively, paid with a credit card. Suppose we select a customer at random.
a.) Draw a tree diagram to model this chance process.
b.) Find the
c.) Given that the customer paid with a credit card, find the probability that she or he bought premium gas.
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