3.65 An analyst at an airline company wants to predict whether the number of passengers for the various cabin classes will decrease, remain the same, or increase over the next year. The following table shows predictions based on the past records.

Prediction Decrease Remains the same Increase Economy class 0.14 0.30 0.05 Business class 0.09 0.12 0.04 First class 0.10 0.02 0.14

a. What is the probability that the number of passengers in the economy class remains the same?

b. What is the probability that the number of passengers decrease?

c. If the number of passengers increased, what is the probability that this would happen for business class passengers?

d. If the number of passengers for first class is considered, what is the probability that it will decrease?