Airline services provide various packages for their customers booking during holiday season. There are 20%, 45% and 35% of the customers booked for Package A, Package B and Package C respectively. Given, the probability of Package A, Package B and Package C experienced with bad services are 0.002, 0.001 and 0.003. Based on the above situation, answer the following questions: Construct a tree diagram based on the situation given and determine their associated probabilities, including the intersection probabilities together with the outcomes. Based on the answer in (i), determine the probability that a customer experienced with a good service from the airlines. Given that the package is operating smoothly, what is the probability that it is in Package B?
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.
Airline services provide various packages for their customers booking during holiday season. There are 20%, 45% and 35% of the customers booked for Package A, Package B and Package C respectively. Given, the probability of Package A, Package B and Package C experienced with bad services are 0.002, 0.001 and 0.003.
Based on the above situation, answer the following questions:
- Construct a tree diagram based on the situation given and determine their associated probabilities, including the intersection probabilities together with the outcomes.
- Based on the answer in (i), determine the probability that a customer experienced with a good service from the airlines.
- Given that the package is operating smoothly, what is the probability that it is in Package B?
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