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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 table shows predictions based on past records. Complete parts a through d. n Prediction Remains Decreases Increases the same Economy class 0.16 0.20 0.03 Business class 0.09 0.14 0.02 First class 0.13 0.04 0.19 a. What is the probability that the number of passengers in the economy class increases? The probability that the number of passengers in the economy class increases is 0.03. (Type an integer or a decimal.) b. What is the probability that the number of passengers remains the same? The probability that the number of passengers remains the same is 0.38 . (Type an integer or a decimal.) c. If the number of passengers increased, what is the probability that this would happen for first class passengers? If the number of passengers increased, the probability that this would happen for first class passengers is (Type an integer or decimal rounded to three decimal places as needed.)