1.1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning. Required: a) What is the probability that a client who bought a single cab does not prefer air conditioning? b) What is the probability that a client prefers a double cab with air conditioning?
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.
1.1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.
Required:
a) What is the probability that a client who bought a single cab does not prefer air conditioning?
b) What is the probability that a client prefers a double cab with air conditioning?
1.2 It has been established that completion of construction projects can be delayed because of unfavourable weather conditions. The probabilities are 0.6 that there will be unfavourable weather, and 0.85 that the construction project will be completed on time if the weather is favourable and 0.35 that the construction project will be completed on time if there is unfavourable weather.
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